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Identities of nonterminating series by Zeilberger's algorithm

Tom H. Koornwinder
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Abstract

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 Saalschütz' summation formula in the non-terminating case this is illustrated.

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Tom H. Koornwinder. 1998-05-04. Identities of nonterminating series by Zeilberger's algorithm. https://arxiv.org/abs/math/9805010

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