Lectures on orthogonal polynomials and special functions : sixth summer school, Maryland, 2016
著者
書誌事項
Lectures on orthogonal polynomials and special functions : sixth summer school, Maryland, 2016
（London Mathematical Society lecture note series, 464）
Cambridge University Press, 2021
- : pbk
大学図書館所蔵 全33件
注記
Includes bibliographical references
内容説明・目次
内容説明
Written by experts in their respective fields, this collection of pedagogic surveys provides detailed insight and background into five separate areas at the forefront of modern research in orthogonal polynomials and special functions at a level suited to graduate students. A broad range of topics are introduced including exceptional orthogonal polynomials, q-series, applications of spectral theory to special functions, elliptic hypergeometric functions, and combinatorics of orthogonal polynomials. Exercises, examples and some open problems are provided. The volume is derived from lectures presented at the OPSF-S6 Summer School at the University of Maryland, and has been carefully edited to provide a coherent and consistent entry point for graduate students and newcomers.
目次
- 1. Exceptional Orthogonal Polynomials via Krall Discrete Polynomials Antonio J. Duran
- 2. A Brief Review of q-series Mourad E. H. Ismail
- 3. Applications of Spectral Theory to Special Functions Erik Koelink
- 4. Elliptic Hypergeometric Functions Hjalmar Rosengren
- 5. Combinatorics of Orthogonal Polynomials and their Moments Jiang Zeng.
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