**Subject**:**Volume 4, Number 5****From**:**"Ken Tice" <kst@ebrock.cam.nist.gov>**- Date: Thu, 25 Mar 1999 15:19:25 -0500
- Content-Type: text/plain; charset=us-ascii
- Reply-To: ken.tice@nist.gov

o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - - - September 15, 1997 - - O P - S F N E T Volume 4, Number 5 - - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - - 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 - - & address changes to: poly-request@siam.org - - - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o Today's Topics 1. Renewal of our Activity Group's charter 2. Report on Stanford Minisymposium "Handbooks for Special Functions and the World Wide Web" 3. Bill Miller appointed IMA Director 4. VIII Simposium sobre Polinomios Ortogonales y Aplicaciones, Sevilla - update 5. Meeting on Symmetries and Integrability of Difference Equations 6. NIST Digital Library of Mathematical Functions 7. Student membership in SIAM 8. Updated booklist 9. Book on Mehler-Fock type transform 10. Proceedings of the Organic Mathematics Workshop 11. Rivlin Festschrift 12. Book on Logarithmic Potentials with External Fields 13. Maple procedure rec2ortho 14. Krawtchouk Polynomials Home Page 15. Changes of Address, WWW Pages, etc. 16. Obtaining back issues of OP-SF Net and submitting contributions to OP-SF Net and Newsletter Calendar of events: see issue/topic: 1997 September 22-26: VIII Simposium sobre Polinomios Ortogonales y Aplicaciones, Sevilla, Spain 3.5 #5, 4.2 #4, 4.3 #5 and 4.5 #4 1998 March 22-28: Meeting on Applications and Computation of Orthogonal Polynomials, Oberwolfach, Germany 4.3 #6 May 16-22: Symmetries and Integrability of Difference Equations, Sabaudia, Italy 4.5 #5 July 13-17: SIAM Annual Meeting, Toronto, Canada Topic #1 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: Allison Bogardo <bogardo@siam.org> Subject: Charter renewal of Activity Group Charles Dunkl, chair of our Activity Group, received the following message from Allison Bogardo: Dear Charles: I am pleased to advise you that the SIAM Council and Board of Trustees approved the renewal of the charter for the SIAM Activity Group on Orthogonal Polynomials and Special Functions. The charter is for a three-year period beginning January 1, 1999 and ending December 31, 2001. We will be in touch with you in the spring of 1998 to begin work on your activity group ballot. In the meantime, if there is any other way we can be of assistance to you and your activity group, please do not hesitate to be in touch with me. Thank you. Allison Bogardo bogardo@siam.org Topic #2 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: Willard Miller <miller@ima.umn.edu> Subject: Report on Stanford Minisymposium "Handbooks for Special Functions and the World Wide Web" The Activity Group on Orthogonal Polynomials and Special Functions sponsored the Minisymposium "Handbooks for Special Functions and the World Wide Web" that was held on July 14, 1997 at the SIAM Annual Meeting at Stanford University. The principal handbooks on special functions, the "Bateman Project" and the NIST (formerly National Bureau of Standards) "Handbook of Mathematical Functions," are among the most useful, widely consulted technical volumes ever published, but they are now out of date, due to rapid research progress and revolutionary changes in technology. The minisymposium was organized by Dick Askey and Willard Miller, and featured talks by representatives of the groups that are proposing to update the Bateman Project (Mourad Ismail) and Abramowitz & Stegun (Dan Lozier), respectively, a presentation on the development of a Mathematica Special Functions Handbook (Olag Marichev and Paul Wellin), and an assessment of the historical influence of special functions handbooks (Dick Askey), followed by a general discussion. Willard Miller chaired the session and started with some desirable criteria for handbooks: 1) Present, codify and organize the principal results and tools in appropriate parts of the field of special functions. Provide insight into the structure of the theory. 2) Provide easy accessibility for users. 3) Ensure long term impact. Do carefully (accurately) and guided by the most knowledgeable experts in the field. Make easy to update. Dan Lozier talked about the planning for publication on the World Wide Web of a modernized and updated revision of the NBS Handbook of Mathematical Functions, first published in 1964. The authoritative status of the original publication is to be preserved by enlisting the aid of qualified mathematicians and scientists. However, there will be increased practical emphasis on formulas, graphs and numerical evaluation through the provision of interactive capability to permit generation of tables and graphs on demand. The "handbook" will be available at a Web site and will involve a digital library. (Editor's Note: See Topic #6 below for further information on this project.) Mourad Ismail discussed plans for updating the Bateman project, both to reflect progress made on topics covered in the original (written in the early 1950's) and to add topics of current importance that were not in the initial project. In particular, the plan is for major additions on one and multi-variable orthogonal polynomials and on q-series. Mourad emphasized the importance of involving leading experts in the project. The plan is that the update should be published in a paper version, with formulas (and corrections) available via ftp or on a Web site. One of the arguments that he presented for a paper version was that many third world mathematicians and users of mathematics would not have access to a Web-based product. Cambridge University Press has shown interest in the project and some funding has been received from the National Security Agency. Major funding is being sought from the National Science Foundation. Oleg Marichev presented current work on the Mathematica Interactive Special Functions Handbook. The Wolfram Research representatives emphasized the importance of using recent Web-based technological developments in a handbook project. Their concept was to have a paper version of the handbook and a World Wide Web version. On the Web version search engines could be used, formulas could be down-loaded, manipulated with Mathematica, and data could be generated and plotted. Hyperlinks could be used to link formulas with the original reference where they are derived. Updating and correcting would be simple on the Web. Their message was that the Mathematica system should be used as the underlying system for an update of either the NBS or the Bateman project. Dick Askey talked about the influence, for good or ill, of special function handbooks through the decades. Many of his examples illustrated the value of involving leading researchers in these projects. Their input is critical in deciding what material to include and how to present it. The issued raised at the Minisymposium are of importance for all in the special functions user community. The need for updating and codifying the principal results of the theory are clear, but the sources of funding and the optimal delivery system are not yet determined. Clearly, special function handbooks will continue to be produced. If the special functions research community is to have much influence on their content, we need to resolve these issues now. Willard Miller, Jr. Topic #3 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: OP-SF NET Editor <muldoon@yorku.ca> Subject: Bill Miller appointed IMA Director Bill Miller, our Group's Program Director, has been chosen to succeed Avner Friedman as Director of the Institute for Mathematics and its Applications (IMA), University of Minnesota, for a five-year term beginning September 1, 1997. The IMA was established in 1982 by the U.S. National Science Foundation, as a result of a national competition. Its mission is to close the gap between theory and its applications by identifying problems and areas of mathematical research needed in other sciences and by encouraging the participation of mathematicians in these areas of application. Professor Miller is a mathematical physicist. His research involves the use of symmetry methods, in particular Lie groups and Lie algebras, in the analysis of the structure of physical theories. He has written extensively on topics in special function theory, separation of variables, and quantum algebras. Willard Miller has had a long association with the IMA. He was the head of the School of Mathematics at Minnesota in 1979 when the proposal for the IMA was made, and he played a major role in bringing the IMA to Minnesota. He became Associate Director of the IMA in 1987 and served in that position for seven years, before becoming Associate Dean for Finance and Planning of the Institute of Technology at the University of Minnesota. We congratulate Bill on this important appointment and wish him every success in his leadership of the IMA. (Much of the above information is taken from the IMA web site: http://www.ima.umn.edu/). Topic #4 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: Walter Van Assche <walter@wis.kuleuven.ac.be> Subject: VIII Simposium sobre Polinomios Ortogonales y Aplicaciones, Sevilla - update The VIII Simposium sobre Polinomios Ortogonales y Aplicaciones in Sevilla, Spain will be held during September 22-26, 1997, see OP-SF Net 4.2, Topic #4. Updated information can be found on the web page http://www.wis.kuleuven.ac.be/wis/applied/walter/sevilla.html In particular, this contains a link to the conference program on URL http://www.wis.kuleuven.ac.be/wis/applied/walter/program.html Here is the updated list of plenary lectures: - D. Alpai (Ben Gurion University, Israel): Exact formulas for continuous and discrete orthogonal polynomials with rational weights and application to solutions of inverse spectral problems - Alexander I. Aptekarev (Russian Academy of Sciences, Russia): Asymptotics of general multiple orthogonal polynomials - Richard Askey (University of Wisconsin, U.S.A.): Combinatorics of the classical orthogonal polynomials - Tom H. Koornwinder (University of Amsterdam, The Netherlands): A survey of symbolic computation for orthogonal polynomials and special functions - Doron Lubinsky (University of Witwatersrand, South Africa): Orthogonal polynomials for exponential weights - Andrei Martinez (University of Almeria, Spain): Asymptotic properties of Sobolev orthogonal polynomials - Paul Nevai (Ohio State University, U.S.A.): Steklov's conjecture in L^p and divergence of Lagrange interpolation in L^p - Evgeni A. Rakhmanov (University of South Florida, U.S.A.): Constrained equilibrium measure and zero asymptotics of discrete orthogonal polynomials - Edward B. Saff (University of South Florida, U.S.A.): Theory and applications of constrained energ problems - Herbert Stahl (Technische Fachhochschule Berlin, Germany): Spurious poles of Pade approximants - Vilmos Totik (Bolyai Institute Szeged, Hungary): Orthogonal polynomials with respect to varying weights and the so-called universality law Topic #5 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: OP-SF NET Editor <thk@wins.uva.nl> Subject: Meeting on Symmetries and Integrability of Difference Equations FIRST ANNOUNCEMENT SIDE III 3rd International Interdisciplinary Meeting on Symmetries and Integrability of Difference Equations SABAUDIA, near Rome (Italy), 16-22 May 1998 This series of international meetings started in 1994: the first "Symmetries and Integrability of Difference Equations" (SIDE) meeting was held in Esterel, Quebec (near Montreal - Canada) and was organized under the auspices of the CRM (Centre de Recherches Mathematiques) of the Universite' de Montreal. A second meeting took place in 1996 at the University of Kent in Canterbury (UK). Informations on the 1st SIDE meeting has been reported in: "Symmetries and Integrability of Difference Equations", edited by D. Levi, L. Vinet and P. Winternitz, AMS 1996. The meeting is intended to bring together specialists from various disciplines, all working or using methods from discrete integrable systems, i.e. systems that can be described by ordinary or partial difference equations and that allow for exact methods for their solutions. This domain forms the core of a great variety of fields, including classical and quantum physics, computer science, mathematical biology, economics, numerical analysis, difference geometry, and so on. The SIDE meetings want to be a point of contact between researchers of various disciplines on discrete systems which otherwise would not be able to interact among themselves. The participation of young scientists is encouraged. The main topics of the present meeting will be: integrable difference equations, Symmetries of ordinary and partial difference equations and reduction techniques, Integrable correspondences, asymptotics and difference monodromy problems, orthogonal polynomials and q - special functions, discrete geometry, applications to computer science, neural network, physical, biological, and economical systems. As in the previous meetings of the series, to enhance the interactions and to promote informal contacts, all the participants will be accomodated under the same roof, that in this case will be the Hotel "Oasi di Kufra", as the venue where the lectures are delivered and where the social activities are organized (meals, receptions, etc.). So as not to overload the meeting with talks, while keeping the single-session format, we plan to accept a limited number of participants (< 50). The format of the meeting consists of a certain number of short lectures (30 minutes) and of a few longer review expositions intended for students and young researchers. A poster session will be available for presenting partial or side results. The cost of participation will consist of a registration fee of Lit. 150000 (equivalent to ~ 90 USD) if paid before March 15th, 1998, otherwise Lit. 180000 (~ 110 USD) and of a flat all-inclusive rate of Lit. 810000 (~ 480 USD) ( + Lit. 180000 for single occupancy rooms). This flat rate might be partly or completely waived for qualified participants who have no funds to support their participation if our applications for financial support will be successful. The listed prices are subject to small variations according to fluctuations of the exchange rates. Interested persons should contact the local organizers, preferably by e-mail. Please take into account that there will be room for, at most, 20 talks (30 minutes). Consequently the scientific committee will decide whether the applicant's contribution can be accepted as a talk or as a poster. The following speakers have already confirmed their participation: C. Brezinski (U. Lille - France) - "Difference equations and convergence acceleration methods" P. Clarkson (U. Kent - UK) - "Exact solutions of discrete Painleve' equations" V. Enolsky (U. Kiev - Ukraine) - "Addition laws on hyperelliptic Jacobian and integration of discrete systems of KdV type" F.A. Grunbaum (U. California, Berkeley - USA) - to be announced R. Hirota (Waseda U. - Japan) - "Discretization of integrable systems" M. Ismail (Univ. of South Florida - USA) - "Asymptotics of recursion coefficients and zeros of orthogonal polynomials" I. Krichever (Columbia U. - USA) - to be announced T. Miwa (RIMS Kyoto - Japan) - "Quantum Knizhnik - Zamolodchikov equation and its applications to integrable systems" L. Nieto (U. Valladolid - Spain) - to be announced R. Quispel (Latrobe U., Melbourne - Australia) - "Symmetries and integrability of difference equations" A. Ramani (CNRS - France) - to be announced G. Rollet (U. Paris Cergy - France) - to be announced P. Santini (U. Catania - Italy) - "Discrete geometry and integrable difference equations" J. Satsuma (U. Tokyo - Japan) -"Nonautonomous soliton equations and their solutions" W. Schief (UNSW, Sydney - Australia) - "The geometry of discrete integrable systems" V. Spiridonov (Dubna - Russia) - "Self-similar potentials and q-special functions" Yu. Suris (U. Bremen - Germany) - "Nonlocal quadratic Poisson algebras and constrained lattice KP" M. Tarlini (U. Firenze - Italy) - "Induced representations of the Quantum Galilei group and integrable models in 1 space dimension" W. Van Assche (U. Louvain - Belgium) - "Non-symmetric linear difference equations for polyorthogonal polynomials" A.P. Veselov (U. Loughborough - UK) - "Laplace - Darboux lattices and spectral theory of Schroedinger operators" L. Vinet (CRM - Canada) - "Algebraic treatment of integrable difference equations and special functions" R. Yamilov (Ufa -Russia) - "Formal symmetry approach to the classification and testing of integrable differential difference equations" The local organizers are: D. Levi, O. Ragnisco (Dipartimento di Fisica, Universita' di Roma Tre - Via della Vasca Navale 84, 00146 Roma, Italy) e-mail: levi@amaldi.fis.uniroma3.it, ragnisco@amaldi.fis.uniroma3.it fax: 39-6-5579303 www: http://www.roma1.infn.it/~ragnisco/side/sideiii.htm (Editor's note: As of September 13, 1997, this web site had not been activated.) The International Scientific Committee is: F.W. Nijhoff (U. Leeds - UK) chairman, A. Bobenko (TU Berlin - Germany), J. Hietarinta (U. Turku - Finland), N. Joshi (U. Adelaide - Australia), M. Kruskal (Rutgers U. - USA), D. Levi (U. Roma 3 - Italy), V. Papageourgiou (U. Patras - Greece), C. Viallet (U. Paris VI - France), P. Winternitz (U. Montreal - Canada) Topic #6 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: Dan Lozier <lozier@cam.nist.gov> Subject: NIST Digital Library of Mathematical Functions A major new World Wide Web site for special functions and their applications is being planned at the National Institute of Standards and Technology, provided adequate financial and other resources are secured. The new site will be called the NIST Digital Library of Mathematical Functions. See http://math.nist.gov/DigitalMathLib for current information about the project. NIST is the new name for the old National Bureau of Standards, and the core component of the DLMF will be a thorough revision of Abramowitz and Stegun, Handbook of Mathematical Functions (with Formulas, Graphs, and Mathematical Tables), NBS Applied Mathematics Series 55, US Government Printing Office, 1964. The procedures used to generate and validate the original handbook will be adapted and strengthened to ensure a successor of the highest possible quality. The static content of the DLMF will be stored in a computer database at NIST, accessible at the web site and by CD-ROM. The ability will be provided to copy formulas, graphs and numerical data into local computer files in formats appropriate for subsequent word, numerical, symbolic and graphical processing. Application components in technical fields where special functions are important are a prominent part of the DLMF concept. For example, such a component could include sample problems and their solutions in terms of special functions. Basic mathematical information resident in the core component will be extracted and adapted to the notation and definitional conventions of the technical field. Components for electromagnetism and quantum physics are included in the NIST plan as prototypes for other application components. A later stage of development is envisioned in which computational services are provided by NIST on request from web users. For example, a user would be able to specify a set of numerical values for the arguments and parameters of a special function, together with a minimum precision requirement. If the requisite computational resources are available to the DLMF, then the corresponding set of function values would be computed and delivered to the user. Other potential services-on-demand are preparation of graphs and computer algebraic processing. Recent events include: - The DLMF initiative was presented on July 14 at the SIAM Annual Meeting in the OPSF-sponsored Minisymposium on Handbooks for Special Functions and the World Wide Web. A corresponding NIST report will be available soon at the web site. - A workshop was held July 28-30 at NIST to refine and develop the DLMF concept. About a third of the 30 participants were prominent researchers invited from outside NIST. In addition to lectures, lively and useful discussions took place on several general topics: approach to the project, organization of the project, funding possibilities, new chapter layout, roles and applications, and future phases. A summary NIST report will be available soon at the web site. The web site gives an e-mail address where comments can be sent on any aspect of the project. Also, any site visitor can subscribe to a mailing list to receive occasional e-mail from NIST announcing significant new developments. Dan Lozier (U.S.) National Institute of Standards and Technology Topic #7 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: OP-SF NET Editor <thk@wins.uva.nl> Subject: Student membership in SIAM The following information may beof interest to students and postgraduates. Students can become a member of SIAM for $20/year, with free membership in one activity group. Postgraduates, during three consecutive years after receiving their highest degree, can become members of SIAM for $45/year. E-mail: join@siam.org Topic #8 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: Wolfram Koepf <koepf@zib.de> Subject: Updated booklist A combined booklist and list of electronic services appeared in OP-SF NET 2.2, Topic #12. A revised list appeared in our printed Newsletter in June 1997. An electronic version of the revised may be seen at our website: http://www.math.yorku.ca/Who/Faculty/Muldoon/siamopsf/booklist.html Topic #9 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: OP-SF NET Editor <thk@wins.uva.nl> Subject: Book on Mehler-Fock type transform The following announcement was found on the web site: http://www.awl-he.com/advmaths/titles/367.html Pitman Research Notes in Mathematics Series 367 Integral Expansions Related to Mehler-Fock Type Transforms B N Mandal and Nanigopal Mandal An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics are commonly known as Mehler-Fock integral transforms. In the inverse transformation formulae, the subscript of the associated Legendre functions generally appears as the integration variable while the superscript is either zero or an integer or a complex number. There is another class of integral transforms involving associated Legendre functions for which the superscript appears as the integration variable in the inverse transformation formulae while the subscript remains fixed. This class of integral transforms and the associated integral expansions are not widely known in the literature and they are somewhat related to Mehler-Fock type transforms. In this book, a number of integral expansions of such type have been established rigorously and integral expansions of some simple functions are also obtained as applications. It is hoped that this book will motivate researchers in applied mathematics to initiate work on appropriate physical problems in continuum mechanics and electromagnetic wave diffraction involving conical, toroidal, and ellipsoidal regions. Readership: Researchers and graduate students in applied mathematics and engineering, engineers and physicists working in electromagnetic diffraction problems and elasticity problems. Contents: * Preface * 1. Introduction * 2. Integral expansions related to Mehler-Fock transforms * 3. Integral expansions related to Mehler-Fock type transforms involving associated Legendre functions * 4. Integral expansions related to Mehler-Fock type transforms involving generalized associated Legendre functions * 5. Some further integral expansions * Bibliography Pages: 144 AMS: 44 Subject Classification: Approximation theory, integral transforms and integral equations, Mechanics of solids, Mathematical physics Publication Year: 1997 ISBN: 0 582 30816 X Topic #10 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: OP-SF NET Editor <thk@wins.uva.nl> Subject: Proceedings of the Organic Mathematics Workshop Information on this publication is available at: http://www.cecm.sfu.ca/organics/contents.html >From the mission statement: The Organic Mathematics Project (OMP) is directed towards the exploration of the emerging network and information technologies within the context of mathematics. The end product will be a digital proceedings of the Workshop on Organic Mathematics on December 12 to 14, 1995 at Simon Fraser University. See as an example the invited article "Pfaff's Method (III): Comparison With the WZ Method" by George Andrews. Topic #11 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: OP-SF NET Editor <thk@wins.uva.nl> Subject: Rivlin Festschrift Annals of Numerical Mathematics Vol 4, 1997 is a special issue on "The heritage of P.L. Chebyshev: A Festschrift in honor of the 70th birthday of T.J. Rivlin". This special issue is edited by Charles A. Micchelli. The following table of contents is found at the URL: http://www.baltzer.nl/anuma/an4-97.html . A considerable part of the included papers deals with orthogonal polynomials. Dedication Charles A. Micchelli On the work of Theodore J. Rivlin C.A. Micchelli A brief preface T.J. Rivlin On Chebyshev polynomials in dynamics R. Adler, B. Kitchens, C.A. Micchelli and C. Tresser 1 Renewal sequences and ordered partitions J.M. Anderson and A. Hinkkanen 11 Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices Z. Bai and G.H. Golub 29 On approximation by exponentials B.J.C. Baxter and A. Iserles 39 A discrepancy lemma for oscillating polynomials and sign changes of the error function of best approximants H.-P. Blatt 55 On the zeros of various kinds of orthogonal polynomials C. Brezinski and M. Redivo-Zaglia 67 On the lower semicontinuity of best rational Chebyshev approximation B. Brosowski 79 Rivlin's problem B. Brosowski and F. Deutsch 95 Lebesgue functions for polynomial interpolation -- a survey L. Brutman 111 On a recovery problem M. Buhmann and A. Pinkus 129 The approximate sampling theorem, Poisson's sum formula, a decomposition theorem for Parseval's equation and their interconnections P.L. Butzer and A. Gessinger 143 Support and foundation of bases J.M. Carnicer, T.N.T. Goodman and J.M. Pen¬a 161 Lacunary interpolation by cosine polynomials A.S. Cavaretta, C.R. Selvaraj and A. Sharma 181 A study of asymptotically optimal time-frequency localization by scaling functions and wavelets C.K. Chui and J.Z. Wang 193 A de Montessus theorem for multivariate homogeneous Padé approximants A. Cuyt and D.S. Lubinsky 217 The multiplicity of a spline zero C. de Boor 229 Overconvergence of some simultaneous Hermite-Padé interpolants M.G. de Bruin and A. Sharma 239 Approximation by feed-forward neural networks R.A. DeVore, K.I. Oskolkov and P.P. Petrushev 261 Uniqueness of least-norm generalized monosplines induced by log-concave weight-functions N. Dyn 289 On upper bounds for the number of extrema of Chebyshev alternants M.K. El-Daou and E.L. Ortiz 301 Polynomial approximation of functions continuous on [-1, 1] and analytic on (-1, 1) D. Gaier 315 On the computation of special Sobolev-type orthogonal polynomials W. Gautschi 329 On some recursive triangular systems W.M.Y. Goh, E. Schmutz and J. Wimp 343 On a measure of dissimilarity between positive definite matrices A.J. Hoffman and C.A. Micchelli 351 On computing Ax and pi^T A, when A is sparse A.J. Hoffman, W.R. Pulleyblank and J.A. Tomlin 359 The dynamics of group automorphisms B. Kitchens 369 A variational approach to optimizing linear functionals over Haar spaces A. Kroo and D. Schmidt 393 Weighted polynomial approximation of some entire functions on the real line A. Kroo, J. Szabados and R.S. Varga 405 On monotone and convex approximation by splines with free knots D. Leviatan and A. Shadrin 415 On optimal Pade-type cuts A.P. Magnus 435 Subdivision schemes with non-negative masks converge always -- unless they obviously cannot? A.A. Melkman 451 On a measure of dissimilarity for normal probability densities C.A. Micchelli 461 A splitting problem D.J. Newman 479 Fast multipoint polynomial evaluation and interpolation via computations with structured matrices V.Y. Pan, A. Zheng, X. Huang and Y. Yu 483 Bernstein polynomials based on the q-integers G.M. Phillips 511 A new iterative algorithm for thin plate spline interpolation in two dimensions M.J.D. Powell 519 The Fundamental Theorem of Linear Programming applied to certain extremal problems for polynomials M.A. Qazi and Q.I. Rahman 529 Optimal recovery in translation-invariant spaces of functions R. Schaback 547 The Chebyshev constant of a linear set H.S. Shapiro 557 On the zeros of generalized Jacobi polynomials P. Vertesi 561 Smoothing spline ANOVA fits for very large, nearly regular data sets, with application to historical global climate data G. Wahba and Z. Luo 579 Measurable entire functions B. Weiss 599 Strong tractability of weighted tensor products H. Wozniakowski 607 Summability of certain product ultraspherical orthogonal series in several variables Y. Xu 623 Author index 639 Topic #12 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: OP-SF NET Editor <thk@wins.uva.nl> Subject: Book on Logarithmic Potentials with External Fields The following information is taken from the web site: http://www.springer.de/catalog/html-files/deutsch/math/toc/3540570780-c.html E. Saff, University of South Florida, Tampa, FL, USA ; V. Totik , University of Szeged, Hungary Logarithmic Potentials with External Fields This treatment of potential theory emphasizes the effects of an external field (or weight) on the minimum energy problem. Several important aspects of the external field problem (and its extension to signed measures) justify its special attention. The most striking is that it provides a unified approach to seemingly different problems in constructive analysis. These include the asymptotic analysis of orthogonal polynomials, the limited behavior of weighted Fekete points; the existence and construction of fast decreasing polynomials; the numerical conformal mapping of simply and doubly connected domains; generalization of the Weierstrass approximation theorem to varying weights; and the determination of convergence rates for best approximating rational functions. Potential theory, mathematical physics. For graduate students and researchers in the above fields. Table of Contents 1997 . VIII, 525 pp., Hardcover ISBN 3-540-57078-0 DM 158,- Publication date: September, 1997 Springer, Grundlehren der mathematischen Wissenschaften. Vol. 316 Topic #13 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: Tom Koornwinder <thk@wins.uva.nl> Subject: Maple procedure rec2ortho Rene' Swarttouw and I have completed a major update of our Maple procedure rec2ortho (get OP families in the Askey scheme from the coefficients in the three term recurrence relation). See more information at the URL: http://turing.wins.uva.nl/~thk/rec2ortho.html Tom Koornwinder Topic #14 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: Vadim Zelenkov <zelenkov@gray.isir.minsk.by> Subject: Krawtchouk Polynomials Home Page In the near future I intend to create a web site, devoted to the Krawtchouk orthogonal polynomials. Besides M. Krawtchouk's biography and the polynomial properties I would like to include references to papers in which these polynomials are investigated or used. If you want your article to be mentioned please e-mail me the bibliographic data, abstract and (if possible) the text in LaTeX format and/or the appropriate hyperlink. I shall inform you when the site will be completed. Thank you in advance, Vadim Zelenkov, International Sakharov Institute of Radioecology, Minsk, Belarus Email: zelenkov@gray.isir.minsk.by WWW: http://www.isir.minsk.by/~zelenkov Topic #15 ------------ OP-SF NET 4.5 ------------ September 15, 1997 From: OP-SF NET Editors <thk@wins.uva.nl>, <muldoon@yorku.ca> Subject: Changes of Address, WWW Pages, etc. Arno Kuijlaars (Leuven, Belgium) is staying temporarily at: Department of Mathematics City University of Hong Kong 83 Tat Chee Avenue Kowloon, Hong Kong email: maarno@math.cityu.edu.hk >From February 1, 1998 his address will be again: Departement Wiskunde Katholieke Universiteit Leuven Celestijnenlaan 200 B 3001 Leuven Belgium email: arno@wis.kuleuven.ac.be Topic #16 ------------ OP-SF NET 4.5 ------------ September 15, 1997 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 Back issues of OP-SF Net can be obtained from ftp: ftp.wins.uva.nl, in directory pub/mathematics/reports/Analysis/koornwinder/opsfnet.dir or WWW: http://turing.wins.uva.nl/~thk/opsfnet/ or WWW: http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html Contributions to the OP-SF Net 4.6 should reach the email address poly@siam.org before November 1, 1997. The Activity Group also sponsors a (printed) Newsletter edited by Wolfram Koepf. Deadline for submissions to be included in the October 1997 issue is September 15, 1997 and for submissions to be included in the February 1998 issue it is January 15, 1998. Please send your Newsletter contributions directly to the Editor: Wolfram Koepf Konrad-Zuse-Zentrum Takustr. 7 D-14195 Berlin-Dahlem, Germany tel.: +49-30-841 85-348/347 fax: +49-30-841 85-269/125 email: koepf@zib.de preferably by email, and in latex format. Other formats are also acceptable and can be submitted by email, regular mail or fax. Please note that submissions to the Newsletter (if not containing mathematics symbols or pictures) are automatically considered for publication in OP-SF Net, and vice versa, unless the writer requests otherwise. Previous issues of the Newsletter, but not the most recent one, can be obtained as dvi or PostScript files from Wolfram Koepf's WWW homepage: http://www.zib.de/koepf/ or by anonymous ftp at ftp.zib.de in directory pub/UserHome/Koepf/SIAM In order to join the SIAM Activity Group on Orthogonal Polynomials and Special Functions, and thereby receive the Newsletter, you have to become a member of SIAM. The annual dues are $93 for SIAM plus $10 for the Group. Student memberships are $20 a year with free membership in one Activity Group. Postgraduates can join for $45 a year (for three years). Contact the email address join@siam.org o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - OP-SF Net is a forum of the SIAM Activity Group on - - Special Functions and Orthogonal Polynomials. - - We disseminate your contributions on anything of interest to the - - special functions and orthogonal polynomials community. This - - includes announcements of conferences, forthcoming books, new - - software, electronic archives, research questions, job openings. - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - Send submissions to: poly@siam.org - - Send address changes to: poly-request@siam.org - - Get back issues from WWW: http://turing.wins.uva.nl/~thk/opsfnet/ - - WWW home page of this Activity Group: - - http://www.math.yorku.ca/Who/Faculty/Muldoon/siamopsf/ - - Information on joining SIAM - - and this activity group: service@siam.org - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o - The elected Officers of the Activity Group are: - - Charles Dunkl, Chair - - Tom H. Koornwinder, Vice Chair and OP-SF Net editor - - Nico M. Temme, Secretary - - Willard Miller, Jr., Program Director - - The appointed officers are: - - Wolfram Koepf, Newsletter editor - - Martin Muldoon, Webmaster and OP-SF Net editor - o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o

- Prev by Date:
**Volume 4, Number 4** - Next by Date:
**Volume 4, Number 6** - Prev by thread:
**Volume 4, Number 6** - Next by thread:
**Volume 4, Number 4**