Volume 5, Number 2

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-                                                                     -
-                                           March 15, 1998            -
-      O P - S F   N E T                    Volume 5, Number 2        -
-      ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~        -
-      Editors:                                                       -
-      Tom H. Koornwinder                   thk@wins.uva.nl           -
-      Martin Muldoon                       muldoon@yorku.ca          -
-                                                                     -
-      The Electronic News Net of the SIAM Activity Group             -
-      on Orthogonal Polynomials and Special Functions                -
-                                                                     -
-              Please send contributions to:     poly@siam.org        -
-              Subscribe by mailing to:  poly-request@siam.org        -
-                                or to:  majordomo@wins.uva.nl        -
-                                                                     -
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Today's Topics:
     1. New editors of (printed) Newsletter
     2. Minisymposium on Problems and Solutions in Special Functions
     3. From opsftalk
     4. Conference on Continued Fractions
     5. Research Conference in q-Series, Combinatorics and Computer
     6. International Workshop on Self-Similar Systems
     7. Special Functions Conference in Hong Kong
     8. Memorial Note about Vasily Borisovich Uvarov (1929 - 1997)
     9. Review of Peter L. Walker "Elliptic Functions. A Constructive
    10. Review of Martin J. Erickson "Introduction to Combinatorics"
    11. New journal "Fractional Calculus & Applied Analysis"
    12. Proceedings "Transform Methods & Special Functions, Varna'96"
    13. KDI initiative
    14. Preprint Archive for papers in Orthogonal Polynomials and Special
    15. Changes of Address, WWW Pages, etc.
    16. Subscribing to OP-SF NET
    17. Obtaining back issues of OP-SF NET and submitting contributions
               to OP-SF NET and Newsletter

Calendar of Events:

March 22-28: Meeting on Applications and Computation of Orthogonal
     Polynomials, Oberwolfach, Germany                             4.3 #6
May 14-16, 1998: 7th Krawtchouk Conference, Kiev, Ukraine          5.1 #2
May 16-22: Symmetries and Integrability of Difference Equations,
     Sabaudia, Italy                                               4.5 #5
May 20-23, 1998: Continued Fractions: From Analytic Number Theory to
     Constructive Approximation, Columbia, Missouri, USA           5.2 #4
June 15-19:  Formal Power Series and Algebraic Combinatorics,
     Toronto, Canada                                               4.6 #3
June 21-25: q-Series, Combinatorics and Computer Algebra,
     South Hadley, Massachusetts, USA                      4.6 #4, 5.2 #5
June 29-July 2: Workshop on Orthogonal Polynomials: Numerical and Symbolic
     Algorithms, Madrid, Spain                                     4.6 #5
July 8-10: Conference on Lattice Paths Combinatorics and Applications,
     Vienna, Austria                                               4.6 #6
July 13-17: SIAM Annual Meeting, Toronto, Canada          5.1 #3, 5.2, #2
July 30 - August 7: International Workshop on Self-Similar Systems
     Dubna, Russia                                         4.6 #7, 5.2 #6

June 21-25: Conference on Special Functions, Hong Kong             5.2 #7

Topic #1   -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: OP-SF Editors <thk@wins.uva.nl>, <muldoon@yorku.ca>
Subject: New editors of (printed) Newsletter

Charles Dunkl, Chair of our Activity Group, has announced the appointment
of Renato Alvarez-Nodarse (Universidad Carlos III de Madrid) and Rafael
Yanez (Universidad de Granada) as co-editors of the Newsletter of the SIAM
Activity Group on Orthogonal Polynomials and Special Functions. They will
succeed Wolfram Koepf (HTWK Leipzig), and the next two issues will be
co-edited by the old and new editors. We look forward to working with
Renato and Rafael as much as we have enjoyed working with Wolfram over the
past three years.

Contact information for the new co-editors is in Topic #17 below.

Topic #2   -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Minisymposium on Problems and Solutions in Special Functions

Our Activity Group will sponsor a Minisymposium "Problems and solutions in
Special Functions" (Organizers:  Willard Miller, Jr. and Martin E.
Muldoon) during the SIAM Annual Meeting to be held in Toronto, July 13-17,
1998. (See OP-SF NET 5.1, Topic #3; the meeting web site is at:

The Minisymposium has been scheduled for 10:30 a.m. to 12:30 p.m. on
Tuesday July 14. Here is the description:

"Problem sections in journals such as SIAM Review and the American
Mathematical Monthly have been responsible for attracting many young
people to the mathematical profession, by providing them with concrete and
significant problems they can attack directly. Furthermore, problems
sections have traditionally been influential in advancing mathematical
research. At this time, when the SIAM Review is phasing out its problem
sections, it is appropriate to assess the history and impact of the
problems sections and their future evolution."


Cecil C. Rousseau, University of Memphis
"Problems on special functions contributed to the SIAM Review Problems and
Solutions section - a retrospective"
Abstract: not yet available

Otto G. Ruehr, Michigan Technological University
"Remarks on the SIAM Review Problem Section"
Abstract: not yet available

Willard Miller, Jr., University of Minnesota
"Remarks on the SIAM Review Problem Section"
Abstract: The speaker will serve a chair of a session of brief
presentations by invited members of the research community that has found
problem sections to be of great value. Included will be anecdotes on
interesting solved/unsolved problems that have appeared in problems
sections; new problems; the future evolution of problems sections.

Topic #3   -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: OP-SF NET  Editor <muldoon@yorku.ca>
Subject: From opsftalk

Recent enquiries in opsftalk include the following query from Paul Nevai:

"Is this new (I hope)?  If the measure is in the class M then there are
finitely many masspoints greater than 1 if and only if the ratio of the
consecutive ops evaluated at the point 1 converges to 1."

Three people (Victor Adamchik, John Boersma and Larry Glasser) have
provided answers to the questions posed by Bozidar Anicin on Bessel and
elliptic functions (OP-SF NET 5.1, Topic #1.)

Bruno Coste posted a question on an overlap integral involving Hermite
polynomials and Tom Koornwinder posted a response.

As announced in OP-SF NET 4.6, Topic #27, opsftalk, a discussion forum in
orthogonal polynomials and special functions, is now open for business. To
subscribe, send a message to


and put in the body of the message only the words:

     subscribe opsftalk

You can post messages by sending mail to


Your message will then be automatically forwarded to everybody
on the opsftalk list.

The postings received during January 13 - March 12, 1998 were archived
by Tom Koornwinder at URL


Postings received from March 14, 1998 onwards will be automatically
archived at URL


Topic #4   -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Conference on Continued Fractions

A conference on "Continued Fractions: From Analytic Number Theory to
Constructive Approximation" will be held at the University of Missouri in
Columbia, Missouri, USA during May 20--23, 1998.  The following
information is taken from the web site
http://www.ams.org/mathcal/info/1998_may20-23_columbia.html (See also the
conference web site:  http://www.math.missouri.edu/~cf/ )

Plenary Speakers

R. A. Askey, B. C. Berndt, D. C. Bowman, A. Bultheel, H. H. Chan, M. H.
Ismail, W. B. Jones, L. J. Lange, L. Lorentzen, D. R. Masson, P. Nevai, O.
Njastad, W.  van Assche.


In addition to the plenary talks, the conference program will include
sessions for 25-minute contributed talks.


Abstracts of talks (TeX{} files by e-mail or hard copies) should be sent
by May 8, 1998, to one of the addresses below.


There will be a conference fee of $25 payable on arrival (graduate
students exempt). Registration forms can be obtained upon request by
e-mail or from our conference Web site.

Organizing Committee

M. Ashbaugh, B. Berndt, F. Gesztesy, N. Kalton, J. Lange, and I.


cf@math.missouri.edu or by regular mail to F. Gesztesy, Dept. of
Mathematics, Univ. of Missouri, Columbia, MO 65211. Conference home page:
http://www.math.missouri.edu/~cf/.  We have applied for funds to defray
travel and lodging costs. Preference will be given to graduate students
and recent Ph.D.s. Those interested in applying for such funds please
contact F. Gesztesy by April 30, 1998.

Topic #5   -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: OP-SF NET Editor <muldoon@yorku.ca>
Subject: Research Conference in q-Series, Combinatorics and Computer

To the information in OP-SF NET 4.6, Topic #4, it should be added that the
conference has a web site at:


Topic #6   -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: Vyacheslav Spiridonov <svp@thsun1.jinr.ru>
Subject: International Workshop on Self-Similar Systems

                 SECOND ANNOUNCEMENT
(The First Announcement was in OP-SF NET 4.6, Topic #7)

The International Workshop "Self-similar systems" will take place at the
Bogoliubov Laboratory of Theoretical Physics, JINR (Dubna, Russia) from 29
July (Wednesday, the arrival date) to 8 August (Saturday, the departure
date) 1998. The proceedings will be published afterwards.

Approximate schedule of themes: 30-31 July and 1 August - minicourses and
seminars on wavelets and applications; 3-4 August - quasicrystals and
self-organized criticality; 4-5 August - self-structuring and
finite-difference equations; 5 August - singular spectra; 6-7 August -
Ya.L. Geronimus centenary session and orthogonal polynomials.

There is still some space in the program for talks. People interested
in participation are asked to apply by e-mail povam@thsun1.jinr.ru
before 30 April 1998.

Current preliminary list of speakers includes J.-P. Allouche, V.
Andrievskii, A. Arneodo, S. Berezovsky, S. Dallakyan, M. Das, G. Derfel,
D. Dhar, Yu. Farkov, J. Geronimo, C. Godreche, L. Golinskii, A. Gordon, A.
Iserles, S. Jaffard, B. Jouault, J.-M. Lina, Y. Liu, G. Lopez, G. Mantica,
F. Marcellan, P. Maroni, Z. Masakova, V. Mel'nikov, M. Mendes France, H.
Mhaskar, R. Minlos, S. Molchanov, I. Novikov, S. Olafsson, J. Patera, F.
Peherstorfer, E. Pelantova, A. Petukhov, V. Protasov, E. Romanenko, V.A.
Rvachev, A. Sharkovsky, Z. Shen, M. Skopina, K. Sneppen, H. Stahl, R.
Steinbauer, B. Torresani, W. Van Assche, M. Vereikina, A. Zhedanov.

The titles of talks and other information can be found
at the web-site http://thsun1.jinr.ru/meetings/98/sss/.
An extended version of the second announcement can be
requested by e-mail as well.

The Organizers.

Topic #7   -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: Charles Dunkl <cfd5z@virginia.edu>
Subject: Special Functions Conference in Hong Kong

A conference on Special Functions  with an emphasis on asymptotics,
mathematical physics and harmonic analysis will be held at the City
University of Hong Kong on June 21-25, 1999.  The organizers are Charles
Dunkl, Mourad Ismail and Roderick Wong.  Further information will be in
future issues of OP-SF NET and will be obtainable from the e-mail address:

Topic #8   -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: Arnold Nikiforov <arnold@applmat.msk.su>
Subject: Memorial Note about Vasily Borisovich Uvarov (1929 - 1997)

(This item appeared in our Activity Group's Newsletter, vol 8, no 2,
February 1998, p. 3)

The distinguished Russian mathematician and physicist Vasily Borisovich
Uvarov died on 23rd of September 1997, four days after his 68th birthday.
A flamboyant personality of splendid health, he suddenly contracted
Alzheimer's disease about 5 years ago, but died in hospital from

   Born into an old and cultivated Muscovite family, he graduated cum
laude in 1952 from the Physics Department of Moscow State University. For
the rest of his life, he worked at the M. V. Keldysh Institute of Applied
Mathematics.  During his last years he was head researcher at the
Institute and professor at MSU.

   When starting his work at the Institute, Uvarov entered the
Ippolitov-Ivanov Moscow Musical School as a student of violin and soon
graduated from the School. He played the violin throughout his life. As a
joke he used to say that, playing the violin, he could compete with

   Research in the domain of high-temperature plasma physics (to be more
exact, in domain of quantum statistical models and interaction of
radiation with matter), started in the late 1950s. At that time computers
were only at the very beginning of their development, so the researcher
had to know how to obtain analytical solutions of rather complicated sets
of differential equations and, more specifically, had to be proficient in
the art of dealing with many special functions. Full control both of
analytical and difference methods enabled Uvarov to solve the problem of
photon absorption in spectral lines of many-electron atoms. In 1962 V.B.
Uvarov received the country's highest scientific award - the Lenin prize.

   Later, Uvarov and Nikiforov developed a new approach to the theory of
special functions using a generalization of the Rodrigues formula.  They
succeeded in obtaining, in the form of a Cauchy integral, a unified
integral representation for functions of hypergeometric type (1974).  The
later book "Special Functions of Mathematical Physics" was based on these
ideas and went through several editions in Russian, French and English.
The latest edition was translated into English by the famous American
mathematician Ralph Boas (1988).

   In 1983 it came to be recognized that along with the differential
equation of hypergeometric type one has to introduce the difference
equation of hypergeometric type over nonuniform lattices for many
functions, given on discrete sets of argument values. The polynomial
solutions of this equation (so-called q-polynomials) were obtained,
investigated and classified in collaboration with A.F. Nikiforov and S.K.
Suslov in the book "Classical Orthogonal Polynomials of a Discrete
Variable" (Moscow, Nauka, 1985;  Springer-Verlag, 1991). This plan has
been carried out independently by the American mathematicians R.  Askey
and J.A. Wilson.

   Many-sidedly talented and wonderfully modest, sometimes unyielding, -
this is how Vasily Borisovich Uvarov will stay in our memory.

Arnold Nikiforov

Topic #9   -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: Wolfram Koepf <koepf@imn.htwk-leipzig.de>
Subject: Review of book on Elliptic Functions

(This item appeared in our Activity Group's Newsletter, vol 8, no 2,
February 1998, p. 15)

Elliptic Functions. A Constructive Approach

By Peter L. Walker

Wiley, Chichester-New York-Brisbane-Toronto--Singapore, 214 pp., 1996,
ISBN 0-471-96531-6

This is a very remarkable book in which the theory of elliptic, i.e.
doubly-periodic, functions is completely developed by direct manipulations
of series, products and integrals. Hence the author takes a rather
algebraical point of view which is primarily stimulated by Eisenstein's

Furthermore, to give a unified treatment, the author develops the theory
of circular and related functions (like gamma) by the same method.

Indeed, the starting point for the circular and related functions are the
families of series (k in Z, k > 0)

             sum {n = -infty to infty} (x+n)^(-k)                     (1)


               sum {n = 0 to infty} (x+n)^(-k),                       (2)

whereas the corresponding starting point for the elliptic functions is
given by the family of double series (k in Z, k > 0, Im tau > 0)

 sum{n=-infty to infty} sum {m=-infty to infty} (x + m +n tau)^(-k).  (3)


0. Preliminaries:  Here a short introduction to series, products, and
integrals is given.

1. Circular Functions:  Starting with (1), the cotangent function, pi and
finally the other circular functions and their properties are developed.

2. Gamma and Related Functions:  Using (2)  instead of (1)  yields the
gamma and related functions.

3. Basic Elliptic Functions: Starting from (3), the Weierstrass elliptic
functions are developed.

4. Theta Functions: Series similar to (3), e.g. with alternating sign, for
k = 1 lead to the Jacobian theta functions.

5. Jacobian Functions:  The Jacobian elliptic functions are ratios of
Jacobian theta functions, and come next.

6. Elliptic Integrals: Elliptic integrals as inverses of elliptic functions
are discussed now.

7. Modular Functions: Here, modular functions are treated. These are
functions depending on the period ratio tau.

8. Applications:  The use of elliptic functions in connection with waves,
number theory and elliptic curves are discussed.



I am very impressed by the author's treatment. It is rather striking how

  1. the theories of the circular and the elliptic functions can be
      developed in much the same manner;
  2. these developments can be done in such an algebraic way.

I recommend this book warmly to everybody who is interested in looking
"behind the scenes" of elliptic functions.

Wolfram Koepf

Topic #10    -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: Charles Dunkl <cfd5z@virginia.edu>
Subject: Review of book on Combinatorics

(This item appeared in our Activity Group's Newsletter, vol 8, no 2,
February 1998, pp. 15-16)

Introduction to Combinatorics

By Martin J. Erickson

Wiley, Chichester-New York-Brisbane-Toronto-Singapore, xii + 195 pp.,
ISBN 0-471-15408-3

This is a book of eleven chapters introducing itself as a textbook. This
review is written mainly from the point of view of evaluating it as such.
This reviewer admits to preferring textbooks to be systematic and
comprehensive. Some chapters of the present work tend to be sketchy rather
than systematic. We begin with a description of the contents.

Chapter 1 is a collection of needed information about sets, group theory,
linear algebra, and algebraic number theory. Sometimes the text can not
quite decide between just stating facts with reference to well-known
textbooks and actually giving definitions and some proofs. Some definitions
should have been avoided: what does it gain to define a finite set as one
having finitely many elements without defining "finitely" (or discussing
bijections involving the basic sets {1,2,3,...,n})? In the rather
important paragraph introducing the symmetric group the example of the cycle
decomposition has the element "3" appearing in two cycles (one assumes
that the second occurrence should have been "5", but this makes it
difficult for a student to understand the concept). The standard binomial
coefficient identities, like the Vandermonde sum, appear in this chapter,
but the proofs tend to be too swift for a beginner and uninteresting for an

Chapter 2 deals with the pigeonhole principle, has lots of detail and
presents interesting examples, like good approximation to irrational numbers
by rational ones. There is a brief introduction to graph theory (but it
refers to planar graphs without giving a definition, except later in one of
the problems).

Sequences and partial orders are taken up in Chapter 3. The author
displays more enthusiasm for the material here, which includes the
Erdos-Szekeres and Sperner theorems. The proofs are complete but place
some demands on the reader, like making a sketch or supplying more detail.
This style holds throughout the book. Chapter 4 continues with the theme
of existence theorems and takes up the topic of Ramsey numbers, graph
colorings, probabilistic methods and van der Waerden's theorem on
arithmetic progressions. These three chapters form the "existence" part.

The part on "enumeration" comprises Chapters 5 through 8. Counting
problems are introduced mostly using function concepts like injections and
surjections. The standard topics of Stirling numbers, Bell numbers,
derangements and their generating functions are covered here. The
unpleasant notation [x]^n is used for the Pochhammer symbol (x)_n. In six
pages, Chapter 7 discusses tableaux, hook-length formulas, and the
Robinson-Schensted correspondence. This seems rather sketchy and may not
be useful. On the other hand, Chapter 8 is a very good presentation of
Polya's theory of counting, with examples from graphs and cycle indices of

The third part of the book on "construction" comprises Chapters 9, 10 and
11, and presents linear codes, Hamming and Golay codes, t-designs, Latin
squares, Hadamard matrices and the Leech lattice.

There is a bibliography of some sixty monographs and a six-page index. Also
there are statements of open problems (most of them have been open for some
time!) and selections of problems from past Putnam Competition Examinations.

As a textbook this work might be appropriate for an undergraduate seminar
for upper level mathematics students or as a supplement in a graduate
course. The coverage of Ramsey theory, Polya's counting methods, codes
and designs may be the strongest part of the book. Generally the proofs
demand careful perusal by the reader and have more words than formulas;
nevertheless the words are used very concisely! Every chapter has a section
of problems, which tend to be difficult. Somehow the reader is left with the
feeling of having been on a hasty tour of combinatorics without a
satisfactory amount of detail in the reader's favorite part of the subject
(whatever that might be). Indeed, similarly styled books have been
designated as "essays", indicating a collection of personal insights and
commentaries. This may be the better way of appreciating the present work.

Charles Dunkl

Topic #11  -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: Virginia Kiryakova <fcaa@math.acad.bg>,<virginia@math.acad.bg>
Subject: New journal "Fractional Calculus & Applied Analysis"
         (FCAA Journal, ISSN 1311-0454)
The journal will be published in English quarterly, starting with volume 1
(1998), 4 issues (March, June, September, December). The publisher is
Institute of Mathematics & Informatics, Bulgarian Academy of Sciences.

Editorial Board:
    Managing  Editor - V. Kiryakova (Bulgaria)
    Honorary Members - P. Butzer (Germany), E.R. Love (Australia),
                       K. Oldham (Canada), J. Spanier (USA)
    Members - P. Antosik (Poland), L. Boyadjiev (Bulgaria),
    I. Dimovski (Bulgaria), R. Gorenflo (Germany), R.N. Kalia (USA),
    S.L. Kalla (Kuwait), A. Kilbas (Belarus), F. Mainardi (Italy),
    A. McBride (UK), P. Mikusinski (USA), I. Podlubny (Slovak R.),
    D. Przeworska - Rolewicz (Poland), B. Rubin (Israel), P. Rusev
    (Bulgaria), M. Saigo (Japan), S. Samko (Russia-Portugal),
    H.M. Srivastava (Canada), Vu Kim Tuan (Kuwait)
    The Journal is conceived as a supplement and continuation of the
    existing (but rather insufficient) periodicals (including the
    proceedings of several international conferences) on Fractional
    Calculus, Integral Transforms, Special Functions and closely
    related topics of Applied Analysis. It will provide also a forum
    for continuing the discussions of the Round Table "Physical and
    Geometrical Meanings and Applications of the Fractional Calculus
    Operators" that took place during the Second International
    Workshop  "Transform Methods & Special Functions, Varna'96"
    (Bulgaria, 23-30 August 1996).  [See next Topic - Ed.]
    Fractional Calculus, Special Functions, Integral Transforms
    (main) & Related Topics of Applied Analysis (secondary):
    Algebraic Analysis, Operational & Convolutional Calculi,
    Harmonic Analysis; Series, Orthogonal Polynomials, Classes of
    Analytic Functions; Generalized Functions, Approximations &
    Numerical Methods (if concerned with the main topics);
    Applications of these techniques to Differential and Integral
    Equations, Problems of Mathematical Physics, Mechanics,
    Statistics, Economics, Engineering, Fractal and Integral
    Geometry; Contributions revealing the connections (if any)
    between Fractional Calculus and Fractals and Applications of
    above-mentioned techniques to solving and clarifying problems
    of the Real Physical and Social World will be also encouraged.
    * Invited Surveys & Papers * Research Articles (subject to
    reviewing) * Archives (renewal publication of old, not accessible
    or in other languages papers of significant interest for the
    audience of the journal) * Reviews on Books & Proceedings
    * Advertisements & Announcements for Meetings, Books, Journals
    * Short Letters &  Discussion Table * Open Problems
General policies of the journal:
    * Timeliness of publication * Peer review processing
    * Presentation of papers in LaTeX or TeX * Exclusive use of
    e-mail for all contacts, reviewing, proofreading etc.
    * Current Internet access to the Contents of published issues
    and Abstracts of the papers * Covering by Math. Rev., Zbl. Math.
Papers to appear in No 1 & No 2, vol. 1 (1998):
     * Carleman operators in commutative algebras with logarithms
     (D. Przeworska-Rolewicz) * Scale-invariants solutions of a
     partial differential equation of fractional order (Yu. Luchko,
     R. Gorenflo) * Binary exponential functions (Bl. Sendov, P.
     Marinov) * Multiresolution analysis with sampling subspaces
     (G.G. Walter, A. Zayed)* Some recurrence relations for the
     generalized hypergeometric functions of the Gauss type
     (L. Galue, S.L. Kalla) * Random-walk models for space-fractional
     processes (R. Gorenflo, F. Mainardi) * The Fourier-Jacobi
     transform of analytic functions which are (almost) periodic in
     the imaginary direction (C.A.M. van Berkel, J. de Graaf)
     * Fractional calculus and wavelet transforms in integral geometry
     (B. Rubin) * Compositions of Bessel type integral transform with
      fractional operators on spaces F_{p, mu}, F^{'}_{p, mu}
      (A. Kilbas, B. Bonilla, M. Rivero, J. Rodriguez, J. Trujillo)
      * On the asymptotics of the Weber-Hermite function in the
      complex domain (P. Rusev) * Some criteria for univalence of
      analytic functions involving generalized fractional calculus
      operators (V. Kiryakova, M. Saigo, H.M. Srivastava)
      * An algebraic derivative and some of its applications
      (V.M. Almeida, J. Rodriguez) * Information on forthcoming
      meetings (Summer'1998)
Schedule of publication:
     The first issue (No 1, vol.1) will be out of press by end
     of March'98; No 2 is expected to appear in April-May'98;
     No 3 & No 4 - in Autumn'98.
Subscription information: Contact the Managing Editor
Instructions to Authors, Style files, all the current information
     is available through the home page or via e-mail request.
Contacts (Preferably by e-mail!):
      Prof. Virginia Kiryakova, Managing Editor "FCAA Journal"
Institute of Mathematics & Informatics, Bulgarian Academy Sciences
      Sofia 1090, Bulgaria
      fax: + 0359-2-971-3649
      e-mail: fcaa@math.acad.bg  ,  virginia@math.acad.bg
      (now working, but slow - Institute's server)
      (to work from end of March, faster)

Topic #12    -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: Virginia Kiryakova <virginia@math.acad.bg>
Subject: "Transform Methods & Special Functions, Varna'96"
(Proceedings of Second International Workshop. Ed-s: P. Rusev,
I. Dimovski, V. Kiryakova). SCTP - Singapore, 1998, 622 p.

As previously announced (OP-SF NET 2.6, #10 (1995), 4.1, #3 (1997) OP-SF
Newsletter 7.1, p.6 (1996)) the Second International Workshop "TMSF,
Varna'96" took place in the town of Varna, a Black Sea Resort, 23-30
August 1996, with an increasing number of participants (73 participants
from 19 countries). The main sections of this workshop were: "Integral
Transforms & Special Functions", "Fractional Calculus", "Operational
Calculi", "Geometric Theory of Analytic Functions", "Integral and
Differential Equations". The Proceedings of the workshop is expected to
appear soon (after some delay caused by technical reasons). Below is the
list of papers included in this huge volume of 622 pages.

                        ----  CONTENTS  ----

* G. Adamczyk: On a generalization of the theorem on two constants

* A. Antonevich: On a construction of the solutions of some elliptic
equations with generalized coefficients

* P. Antosik: Elementary proofs of some classical theorems

* G. Balikov, I. Dimitrov: Some non-metrizable spaces of harmonic

* E. Bazhlekova: Duhamel-type representations of the solutions of
non-local boundary value problems for the fractional diffusion-wave

* J. Betancor, L. Rodriguez-Mesa: Pointwise convergence for Hankel

* B. Bonilla, J. Trujillo, M. Rivero: On fractional order continuity,
integrability and derivability of real functions

* N. Bozhinov:  On the root functions of a nonlocal Sturm-Liouville

* P. Butzer, S. Jansche: Mellin transform theory and the role of its
differential and integral operators

* D. Callebaut:  Exact solution of some systems of non-selfadjoint partial
differential equations

* H.-J. Dobner, S. Ritter: Numerical computation of Lame functions

* J. Dziok: Some extremal problems for p-valent alpha-convex functions

* B. Fisher, A. Kilicman:  An extension of a result on the convolution
product of distributions

* M.A. El-Gabali, S.L. Kalla: Simple algorithms for approximations of
generalized elliptic-type integrals

* H.-J. Glaeske: On Zernicke polynomials

* R. Gorenflo:  The tomato salad problem in spherical stereology

* N. Hayek, J. Trujillo, M. Rivero, B. Bonilla, J. Moreno: On existence of
solutions of ordinary differential equations of fractional order

* J. Jelinek: A Tauberian theorem for distributions

* S.L. Kalla, H.G. Khajah: Radiation field integrals and their evaluation

* A. Kaminski: On the product of distributions

* N. Kamiya: On isotopies of algebras and triple systems

* S. Kanas, A. Lecko: Univalence criteria connected with arithmetic and
geometric means, I.

* S. Kempfle, H. Beyer: Global and causal solutions of fractional linear
differential equations

* W. Kierat, K. Skornik: On the applications of Mikusinski's operational
calculus to the controllability of dynamical systems

* A. Kilbas, M. Saigo: Application of fractional calculus to solve
Abel-Volterra nonlinear and linear integral equations

* Yong Chan Kim: A note on linear operators and fractional calculus
operators in the univalent function theory

* S. Krasinska: Application of the generalized Mikhaylov criterion

* A. Lazinska: On some classes of holomorphic functions in the half-plane

* E.R. Love, M. Hunter: Expansions in series of Legendre functions

* W. Luh: Intersections with Gronwall methods

* F. Mainardi: Applications of fractional calculus in mechanics

* S. Mincheva: Automorphisms in the commutant of the integration operator
in spaces of Lebesgue integrable functions

* S. Owa: Applications of fractional calculus operators to univalent

* I. Podlubny:  Application of orthogonal polynomials to solution of
fractional integral equations

* A. Prudnikov, U. Skornik:  A remark on Watson transform

* O. Repin: Generalized operators of fractional integro-differentiation in
meaning of M. Saigo and their applications

* B. Rubin, D. Ryabogin, E. Shamir:  Fractional integrals and wavelet

* M. Saigo, N. Maeda: More generalization of fractional calculus

* H. Saitoh: On certain subclasses of analytic functions involving a
linear operator

* E. Savas: On some sequence spaces

* N. Shawagfeh: A class of integro-differential equations via fractional

* J. Sokol, W. Szumny:  On some extreme points of the unit ball

* S. Spirova:  Hyper-Bessel operators, differential equations, functions
and integral transforms of 4th order

* H.M. Srivastava:  Some operational techniques in the theory of special

* J. Stankiewicz: Convolution in the theory of univalent functions

* T. Stoyanov: Some extensions of the Rolle and Gauss-Lucas theorems

* K. Takano: On infinitely divisible probability distributions and integral

* R. Tremblay, B. J. Fugere: Generating functions related to pairs of
inverse functions

* N. Tretyakova: The integral transforms connected with the group

* L. Trojnar-Spelina: On some integral operators in the class of functions
with negative coefficients

* J. Trujillo, M. Rivero, B. Bonilla: On a new generalized Taylor's

* M. Valbuena, L. Galue, I. Ali: Some properties of the finite Laplace

* Vu Kim Tuan: Airy integral transform and the Paley-Wiener theorem * A.
Wisniowska:  On starlike functions related with hyperbolic regions

         ----  Obreshkoff's session  ----
(Session Devoted to 100th Anniversary of N. Obreshkoff)

* Editorial. Nikola Obreshkoff (1896-1963), Biographical Data & 100
Selected Papers of Acad. N. Obreshkoff

* P. Rusev:  Obreshkoff's generalization of Descartes' rule

* I. Dimovski,V. Kiryakova: Obreshkoff's generalization of the Laplace and
Meijer transforms: origins and recent developments

           ---- Round Table Discussion ----
("Physical and Geometrical Meanings and Applications of
          Fractional Calculus' Operators")

* V. Kiryakova: A longstanding conjecture failed?

* R. Gorenflo: Afterthoughts on interpretation of fractional derivatives
and integrals * S. Kempfle: Modelling viscous damped oscillations by
fractional differential operators

* F. Mainardi: Considerations on fractional calculus:  Interpretations and
applications * K. Oldham: An introduction to the fractional calculus and
some applications

* List of Participants * Appendix (Photomaterials of the Workshop: about
colour 50 pictures)

                 ---- end of Contents ----

More details on the International Workshops "Transform Methods &
Special Functions" (1st: Sofia'94; 2nd: Varna'96) and contents
of their Proceedings could be seen in the home page (the server is slow, so be patient).
The third such workshop can take place in summer 1999. We shall
keep you informed in due time. On behalf of the Org. Committee
(P. Rusev, I. Dimovski, S.L. Kalla, V. Kiryakova, L. Boyadjiev),
                                   yours V. Kiryakova
To order volumes of the Proceedings "TMSF",
please contact directly the Publisher:
   Willie Yong, Science Culture Technology Publishing
   Apt. Blk 551,
   AMK Avenue 10, No 14 - 2224
   S (560 551), Republic of Singapore
   fax: + 65-458-5540
   e-mail: myctwy@mbox2.singnet.com.sg (subject: W. Yong)

Topic #13   -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: Allison Bogardo <bogardo@siam.org>
Subject: KDI initiative

     NSF has formally announced the KDI initiative with a solicitation on
     the web. You can access the NSF announcement via the SIAM home page

     This is a major multidisciplinary program with topics stemming from
     data mining to scientific computing.

Topic #14    -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: Hans Haubold <haubold@Mail.Austria.EU.net>
Subject: preprint archive for papers in Orthogonal Polynomials and Special

Between 22 February and 1 March  1998, the following
paper was deposited in the "siam/submissions" directory at

S.A. Shlapakov, M. Saigo and A.A. Kilbas, On inversion of H-transform in

Between 2nd and 3rd March 1998, the following
paper was deposited in the "siam/submissions" directory at

A.M. Mathai, Matrix-variate growth-decay models

Topic #15    -----------     OP-SF NET 5.2 ------------ March 15, 1998
From: OP-SF NET Editors <thk@wins.uva.nl>, <muldoon@yorku.ca>
Subject: Changes of Address, WWW Pages, etc.

Here are two recent additions to our list of individual web pages:

P.A. Lesky

Dennis Stanton

Jan Felipe van Diejen has moved from Montreal to Chile.
His new coordinates are:

Jan Felipe van Diejen
Departamento de Matematicas
Facultad de Ciencias, Universidad de Chile
Casilla 653
Santiago 1

Phone :  +56-2-678-7300 (office)
         +56-2-678-7295 (secretary)
Fax   :  +56-2-271-3882
E-mail:  vandiej@abello.dic.uchile.cl

Topic #16    -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: OP-SF NET Editors <thk@wins.uva.nl>, <muldoon@yorku.ca>
Subject: Subscribing to OP-SF NET

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Topic #17    -------------   OP-SF NET 5.2  ------------  March 15, 1998
From: OP-SF NET Editors <thk@wins.uva.nl>, <muldoon@yorku.ca>
Subject: Obtaining back issues of OP-SF NET and submitting contributions
         to OP-SF NET and Newsletter

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