| Abstract |
In many cases one may encounter an integral which is of q-MellinBarnes type. These integrals are easily evaluated using theorems which have a long history dating back to Slater, Askey, Gasper, Rahman and others. We derive some interesting q-MellinBarnes integrals and using them we derive transformation and summation formulas for nonterminating basic hypergeometric functions. The cases which we treat include ratios of theta functions, the AskeyWilson moments, nonterminating well-poised ?23, nonterminating very-well-poised W45, W78, products of two nonterminating ?12\'s, square of a nonterminating well-poised ?12, a nonterminating W910, two nonterminating W1112\'s and several nonterminating summations which arise from the AskeyRoy and Gasper integrals. © 2023 |
Manage cookies