Nonterminating transformations and summations associated with some q-Mellin–Barnes integrals
نویسندگان
چکیده
In many cases one may encounter an integral which is of q-Mellin–Barnes type. These integrals are easily evaluated using theorems have a long history dating back to Slater, Askey, Gasper, Rahman and others. We derive some interesting them we transformation summation formulas for nonterminating basic hypergeometric functions. The treat include ratios theta functions, the Askey–Wilson moments, well-poised ϕ23, very-well-poised W45, W78, products two ϕ12's, square ϕ12, W910, W1112's several summations arise from Askey–Roy Gasper integrals.
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2023
ISSN: ['1090-2074', '0196-8858']
DOI: https://doi.org/10.1016/j.aam.2023.102517