J an 2 00 7 On the Bilateral Series 2 ψ 2
نویسندگان
چکیده
It is well known that many bilateral basic hypergeometric identities can be derived from unilateral identities. Using Cauchy’s method [5, 15, 20, 21] one may obtain bilateral basic hypergeometric identities from terminating unilateral identities. Starting with nonterminating unilateral basic hypergeometric series, Chen and Fu [8] developed a method to construct semi-finite forms by shifting the summation index by m. Then the bilateral summations are consequences of the semi-finite forms by letting m tend to infinity. We call this method bilateral extension. In this paper we use bilateral extensions of a 3φ2 series and an identity of Andrews [2] to study the bilateral series 2ψ2: 2ψ2 [
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