This material has been published in Comput. Math. Appl. 32 (3) (1996), 73-91, 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 Hari M. Srivastava

Summations for basic hypergeometric series involving a q-analogue of the digamma function

(24 pages)

Abstract. Using a simple method, numerous summation formulas for hypergeometric and basic hypergeometric series are derived. Among these summation formulas are nonterminating extensions and q-extensions of identities recorded by Lavoie, Luke, Watson, and Srivastava. At the result side of the basic hypergeometric summations there appears a q-analogue of the digamma function. Some of its properties are also studied.

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