This material has been published in J. Comput. Math. Appl. 160 (2003), 159--173, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by Elsevier B.V. This material may not be copied or reposted without explicit permission.

Christian Krattenthaler and K. Srinivasa Rao

Automatic generation of hypergeometric identities by the beta integral method

(12 pages)

Abstract. In this article hypergeometric identities (or transformations) for p+1Fp-series and for Kampé de Fériet series of unit arguments are derived systematically from known transformations of hypergeometric series and products of hypergeometric series, respectively, using the beta integral method in an automated manner, based on the Mathematica package HYP. As a result we obtain some known and some identities which seem to not have been recorded before in literature.

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