$q$-Analogues of two product formulas of hypergeometric functions by Bailey

Authors :: Schlosser, Michael J.
Source :: Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes, Frontiers in Orthogonal Polynomials and q-Series, pp. 445-449 (2018)
Publication Year :: 2016
Abstract: We use Andrews' $q$-analogues of Watson's and Whipple's $_3F_2$ summation theorems to deduce two formulas for products of specific basic hypergeometric functions. These constitute $q$-analogues of corresponding product formulas for ordinary hypergeometric functions given by Bailey. The first formula was obtained earlier by Jain and Srivastava by a different method.<br />Comment: 4 pages; relevant reference added (which contains one of the results, obtained by a different method)

Database :: arXiv
Journal :: Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes, Frontiers in Orthogonal Polynomials and q-Series, pp. 445-449 (2018)
Publication Type :: Report
Accession number :: edsarx.1612.07284
Document Type :: Working Paper
Full Text :: https://doi.org/10.1142/9789813228887_0023