Volume 9, pp. 77-101, 1999.

Software for the algorithmic work with orthogonal polynomials and special functions

Wolfram Koepf

Abstract

This article was presented as a Plenary Talk at the IWOP 98, Madrid. An introduction to general purpose computer algebra systems is given, and the possibilities to use computer algebra in the work with orthogonal polynomials and special functions are discussed in detail.

Full Text (PDF) [186 KB]

Key words

orthogonal polynomials, special functions, computer algebra, Maple V, holonomic functions, differential equations, recurrence equations, hypergeometric functions, Zeilberger's algorithm, Gosper's algorithm, Petkovšek's algorithm.

AMS subject classifications

33-02, 33C45, 11B37, 34A30, 33C20, 68Q40.

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