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612-822-4611
Classical and Quantum Orthogonal Polynomials in One Variable

Classical and Quantum Orthogonal Polynomials in One Variable

Paperback

Series: Encyclopedia of Mathematics and Its Applications, Book 98

AlgebraCalculus

ISBN10: 0521143470
ISBN13: 9780521143479
Publisher: Cambridge University Press
Published: Jul 23 2009
Pages: 726
Weight: 2.38
Height: 1.50 Width: 6.10 Depth: 9.10
Language: English
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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Algebra