Statistics, Mathematics - Special Functions, Computer Mathematics, Mathematical Analysis - Functional Analysis, Mathematics - Applied

Classical Orthogonal Polynomials of a Discrete Variable

Name: Classical Orthogonal Polynomials of a Discrete Variable
Author: Arnold F. Nikiforov
ISBN: 9783642747502

by Arnold F. Nikiforov, Sergei K. Suslov, Vasilii B. Uvarov

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Overview

While classical orthogonal polynomials appear as solutions to hypergeometric differential equations, those of a discrete variable emerge as solutions of difference equations of hypergeometric type on lattices. The authors present a concise introduction to this theory, presenting at the same time methods of solving a large class of difference equations. They apply the theory to various problems in scientific computing, probability, queuing theory, coding and information compression. The book is an expanded and revised version of the first edition, published in Russian (Nauka 1985). Students and scientists will find a useful textbook in numerical analysis.

Synopsis

The authors give a concise introduction to the theory of orthogonal polynomials of a discrete variable and present the methods of solving a large class of difference equations of hypergeometric type. They apply the theory to various problems in scientific computing, probability, queuing theory, coding, and information compression. Students and scientists will find a useful textbook in numerical analysis.