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Classical and Quantum Orthogonal Polynomials in One Variable (Encyclopedia of Mathematics and its Applications)
by: Mourad E. H. Ismail
0521143470 / 9780521143479

Book Description:
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.

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

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