Orthogonal Polynomials and Special Functions
Subtitle: Leuven 2002 (Lecture Notes in Mathematics)
Contributors: Erik Koelink (Editor); Walter Van Assche (Editor)
Edition: 1 edition
Publisher: Springer
Published: August 27, 2003
Language: eng
Format: Paperback
Number of pages: 249
ISBN-13: 9783540403753
Subjects: Calculus & mathematical analysis; Mathematics; General; Science/Mathematics; Orthogonal polynomials; Calculus; Group Theory; Mathematical Analysis; 33-01, 33F10, 68W30, 33C80, 22E47, 33C52, 05A15, 34M40, 42C05, 30E25, 41A60; Mathematics / Calculus; Mathematics / Functional Analysis; Mathematics-Group Theory; Mathematics-Mathematical Analysis; Special Functions; Functions, Special; Congresses
First sentence: In this minicourse I would like to present computer algebra algorithms for the work with orthogonal polynomials and special functions.
Description: The set of lectures from the Summer School held in Leuven in 2002 provide an up-to-date account of recent developments in orthogonal polynomials and special functions, in particular for algorithms for computer algebra packages, 3nj-symbols in representation theory of Lie groups, enumeration, multivariable special functions and Dunkl operators, asymptotics via the Riemann-Hilbert method, exponential asymptotics and the Stokes phenomenon. The volume aims at graduate students and post-docs working in the field of orthogonal polynomials and special functions, and in related fields interacting with orthogonal polynomials, such as combinatorics, computer algebra, asymptotics, representation theory, harmonic analysis, differential equations, physics. The lectures are self-contained requiring only a basic knowledge of analysis and algebra, and each includes many exercises.