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1. CJM 1997 (vol 49 pp. 543)

Ismail, Mourad E. H.; Rahman, Mizan; Suslov, Sergei K.
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

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