English

Identities of nonterminating series by Zeilberger's algorithm

Classical Analysis and ODEs 2007-05-23 v1

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 Saalsch\"utz' summation formula in the non-terminating case this is illustrated.

Keywords

Cite

@article{arxiv.math/9805010,
  title  = {Identities of nonterminating series by Zeilberger's algorithm},
  author = {Tom H. Koornwinder},
  journal= {arXiv preprint arXiv:math/9805010},
  year   = {2007}
}

Comments

12 pages

R2 v1 2026-07-22T17:58:28.783Z