**Subject**:**Volume 5, Number 2****From**:**"Ken Tice" <kst@ebrock.cam.nist.gov>**- Date: Thu, 25 Mar 1999 15:22:47 -0500
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o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - - - 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 - - - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o 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 Algebra 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 Approach" 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 Functions 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: 1998 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 1999 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: http://www.siam.org/meetings/an98/an98home.htm). 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." Speakers: 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 majordomo@wins.uva.nl and put in the body of the message only the words: subscribe opsftalk You can post messages by sending mail to opsftalk@wins.uva.nl 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 http://turing.wins.uva.nl/~thk/opsftalk/archive.html. Postings received from March 14, 1998 onwards will be automatically archived at URL http://www.findmail.com/listsaver/opsftalk/ 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. Program In addition to the plenary talks, the conference program will include sessions for 25-minute contributed talks. Abstracts Abstracts of talks (TeX{} files by e-mail or hard copies) should be sent by May 8, 1998, to one of the addresses below. Registration 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. Verbitsky. Information 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 Algebra To the information in OP-SF NET 4.6, Topic #4, it should be added that the conference has a web site at: http://www.ams.org/meetings/src-ismail.html 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: hkconf99@weyl.math.virginia.edu 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 pneumonia. 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 Einstein. 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 work. 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) and 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) Contents: 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. References Index 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., 1996, 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 expert. 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 permutations. 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) Aims: 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.] Topics: 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. Sections: * 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 URL http://194.141.13.2/~fcaa (now working, but slow - Institute's server) http://www.diogenes.bg/fcaa (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 functions * E. Bazhlekova: Duhamel-type representations of the solutions of non-local boundary value problems for the fractional diffusion-wave equation * J. Betancor, L. Rodriguez-Mesa: Pointwise convergence for Hankel transform * 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 problem * 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 techniques * 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 functions * 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 transforms * 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 calculus * 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 functions * 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 equations * R. Tremblay, B. J. Fugere: Generating functions related to pairs of inverse functions * N. Tretyakova: The integral transforms connected with the group representations * 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 formula * M. Valbuena, L. Galue, I. Ali: Some properties of the finite Laplace transform * 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 http://194.141.13.2/~tmsf (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 (http://www.siam.org). 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 Functions Between 22 February and 1 March 1998, the following paper was deposited in the "siam/submissions" directory at ftp://unvie6.un.or.at/siam/opsf_new/00index.html S.A. Shlapakov, M. Saigo and A.A. Kilbas, On inversion of H-transform in L[nu,r]-space Between 2nd and 3rd March 1998, the following paper was deposited in the "siam/submissions" directory at ftp://unvie6.un.or.at/siam/opsf_new/00index.html 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. 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