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

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9780521782012: Classical and Quantum Orthogonal Polynomials in One Variable (Encyclopedia of Mathematics and its Applications)

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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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.

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Ismail, Mourad E. H.
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Book Description Cambridge University Press, 2005. Hardcover. Book Condition: Very Good+. Dust Jacket Condition: Very Good. Text clean and tight; Encyclopedia of Mathematics and its Applications; 9.29 X 6.22 X 1.73 inches; 706 pages. Bookseller Inventory # 170099

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