Identities of nonterminating series by Zeilberger's algorithm

Details Identities of nonterminating series by Zeilberger's algorithm Identities of nonterminating series by Zeilberger's algorithm

1998-05-04

arxiv.org/abs/math/9805010v1

J. Comput. Appl. Math. 99 (1998), 449-461

Mathematics

Classical Analysis and ODEs

12 pages

Scientific paper

This paper argues that automated proofs of identities for non-terminating
hypergeometric series are feasible by a combination of Zeilberger's algorithm
and asymptotic estimates. For two analogues of Saalsch\"utz' summation formula
in the non-terminating case this is illustrated.

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