A generalization of Kummer’s identity
نویسنده
چکیده
when the relation B−A+C = 1 holds. In this paper a formula is presented which evaluates this series in case when B −A+C is an integer. The formula expresses the infinite series as a linear combination of two Γ-terms with coefficients being finite hypergeometric 3F2 series. Algorithmical problems of summation of infinite hypergeometric series are considered in the light of the generalized formula. The aim of this paper is generalization of Kummer’s identity (see [Kum36]):
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تاریخ انتشار 2003