Published online by Cambridge University Press: 20 November 2018
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 ϕ 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.
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