Classical and Quantum Orthogonal Polynomials in One Variable (Encyclopedia of Mathematics and its Applications)

Ismail, Mourad E. H.

ISBN 10: 0521143470 / ISBN 13: 9780521143479

Published by Cambridge University Press, 2009

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Bibliographic Details

• Title: Classical and Quantum Orthogonal Polynomials in One Variable (Encyclopedia of Mathematics and its Applications)
• Publisher: Cambridge University Press
• Publication Date: 2009
• Language: English
• ISBN 10: 0521143470
• ISBN 13: 9780521143479
• Binding: Paperback
• Condition: Like New
• Book Type: book

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Synopsis

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.

About the Author

Mourad E. H. Ismail is Professor of Mathematics at the University of Central Florida.