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

Ismail, Mourad E. H.

ISBN 10: 0521143470 / ISBN 13: 9780521143479

Edité par Cambridge University Press, 2009

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N° de réf. du vendeur ERICA75805211434706

Détails bibliographiques

• Titre: Classical and Quantum Orthogonal Polynomials in One Variable (Encyclopedia of Mathematics and its Applications)
• Éditeur: Cambridge University Press
• Date de parution: 2009
• Langue: anglais
• ISBN à 10 chiffres: 0521143470
• ISBN à 13 chiffres: 9780521143479
• Reliure: Paperback
• État de l'article: Like New
• Type de livre: book

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Synopsis

The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback. Its encyclopedic coverage includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those discovered over the last 50 years, e.g. Askey–Wilson and Al-Salam–Chihara polynomial systems. Multiple orthogonal polynomials are discussed here 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. Thoroughly updated and corrected since its original printing, this book continues to be valued as an authoritative reference not only by mathematicians, but also a wide range of scientists and engineers. Exercises ranging in difficulty are included to help both the graduate student and the newcomer.

À propos de l?auteur

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