Classical and Quantum Orthogonal Polynomials in One Variable

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.

Author: Mourad E. H. Ismail
Publisher: Cambridge University Press
Published: 08/01/2009
Pages: 726
Binding Type: Paperback
Weight: 2.38lbs
Size: 9.10h x 6.10w x 1.50d
ISBN: 9780521143479

About the Author
Ismail, Mourad E. H.: - Mourad E. H. Ismail is Professor of Mathematics at the University of Central Florida.