This material has been published in
J.
Comput. Math. Appl. 160 (2003), 159--173,
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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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