Automatic generation of hypergeometric identities by the beta integral method

[摘要] In this article, hypergeometric identities (or transformations) for F-p+1(p)-series and for Kampe de Feriet 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. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-11-01

[效力级别]  Proceedings Paper

[关键词] beta integral;generalized hypergeometric series;Kampe de Feriet functions