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91k:00039 00B25 42-06
Orthogonal polynomials. (English)
Theory and practice.
Proceedings of the NATO Advanced Study Institute on Orthogonal Polynomials and their Applications held at The Ohio State University, Columbus, Ohio, May 22--June 3, 1989.
Edited by Paul Nevai with the assistance of Mourad E. H. Ismail.
NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, 294.
Kluwer Academic Publishers Group, Dordrecht, 1990. xii+472 pp. $120.00. ISBN 0-7923-0569-8

Contents: W. A. Al-Salam, Characterization theorems for orthogonal polynomials (pp.\ 1--24); Eiichi Bannai, Orthogonal polynomials in coding theory and algebraic combinatorics (pp. 25--53); D. Bessis, Orthogonal polynomials, Pade approximations and Julia sets (pp.\ 55--97); T. S. Chihara, The three term recurrence relation and spectral properties of orthogonal polynomials (pp. 99--114); P. Delsarte and Y. Genin, On the role of orthogonal polynomials on the unit circle in digital signal processing applications (pp. 115--133); M. M. Djrbashian [M. M. Dzhrbashyan], A survey on the theory of orthogonal systems and some open problems (pp. 135--146); J. Dombrowski, Orthogonal polynomials and functional analysis (pp. 147--161); George Gasper, Using symbolic computer algebraic systems to derive formulas involving orthogonal polynomials and other special functions (pp. 163--179); Walter Gautschi, Computational aspects of orthogonal polynomials (pp.\ 181--216); Roger Haydock, The recursion method and the Schroedinger equation (pp.\ 217--228); Mourad E. H. Ismail, David R. Masson, Jean Letessier and Galliano Valent, Birth and death processes and orthogonal polynomials (pp. 229--255); Tom H. Koornwinder, Orthogonal polynomials in connection with quantum groups (pp. 257--292); D. S. Lubinsky, The approximate approach to orthogonal polynomials for weights on $(-\infty,\infty)$ (pp. 293--310); I. G. Macdonald, Orthogonal polynomials associated with root systems (pp.\ 311--318); Mizan Rahman, Some extensions of the beta integral and the hypergeometric function (pp. 319--344); Leiba Rodman, Orthogonal matrix polynomials (pp. 345--362); E. B. Saff, Orthogonal polynomials from a complex perspective (pp. 363--393); Herbert Stahl and Vilmos Totik, $n$th root asymptotic behavior of orthonormal polynomials (pp. 395--417); Dennis Stanton, An introduction to group representations and orthogonal polynomials (pp. 419--433); Walter Van Assche, Asymptotics for orthogonal polynomials and three-term recurrences (pp. 435--462).

\{The papers that appear to be in final form are being reviewed individually.\}

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