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1. CJM 1997 (vol 49 pp. 543)
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Some summation theorems and transformations for $q$-series We introduce a double sum extension of a very well-poised series and
extend to this the transformations of Bailey and Sears as well as the
${}_6\f_5$ summation formula of F.~H.~Jackson and the $q$-Dixon sum.
We also give $q$-integral representations of the double sum.
Generalizations of the Nassrallah-Rahman integral are also found.
Keywords:Basic hypergeometric series, balanced series,, very well-poised series, integral representations,, Al-Salam-Chihara polynomials. Categories:33D20, 33D60 |