Classical and Quantum Orthogonal Polynomials in One Variable (Encyclopedia of Mathematics and its Applications, Series Number 98) - Softcover

Ismail, Mourad E. H.

Softcover

ISBN 10: 0521143470 ISBN 13: 9780521143479

Publisher: Cambridge University Press, 2009

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 this title

Book Description

Families of orthogonal polynomials arise in many different areas ranging from combinatorics to statistics and physics. This is the first modern account of the subject, written by a world-class researcher in the area. Ismail covers classical discrete and continuous q-orthogonal polynomials, as well as related areas and applications to, for example, Toda lattices and birth-and-death processes. Much material appears here for the first time in book form. The comprehensive bibliography and collection of open research problems and exercises will make this invaluable as a reference or for graduate classes.

About the Author

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

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• ISBN 10: 0521143470
• ISBN 13: 9780521143479
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 726