Geodesic
Some Summation Theorems and Transformations for Q-Series
Canadian journal of mathematics, Tome 49 (1997) no. 3, pp. 543-567

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1997-025-6
Mots-clés : 33D20, 33D60, Basic hypergeometric series, balanced series, very well-poised series, integral representations, Al-Salam-Chihara polynomials 
Ismail, Mourad E. H.; Rahman, Mizan; Suslov, Sergei K. Some Summation Theorems and Transformations for Q-Series. Canadian journal of mathematics, Tome 49 (1997) no. 3, pp. 543-567. doi: 10.4153/CJM-1997-025-6
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