ENGLISH

Classical and Quantum Orthogonal Polynomials in One Variable

By Mourad E. H. Ismail

Book information

Publisher
Cambridge University Press
Year
2005
ISBN
0521782015, 9780521782012
Language
english
Format
PDF
Filesize
4 MB (4479103 bytes)
Series
Encyclopedia of Mathematics and its Applications 98
Pages
706\726
Time added
2014-09-30 11:12:05
Математика;Математическая физика

Description

Coverage is encyclopedic in the first modern treatment of orthogonal polynomials from the viewpoint of special functions. It includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. Askey-Wilson and Al-Salam—Chihara polynomial systems) discovered over the last 50 years and multiple orthogonal polynomials are discussed for the first time in book form. Many modern applications of the subject are dealt with, including birth- and death- processes, integrable systems, combinatorics, and physical models. A chapter on open research problems and conjectures is designed to stimulate further research on the subject.

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