Discrete analogues of the Erdélyi type integrals for hypergeometric functions

Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions

A Verma, KS Yadav, B Sharan, DL Suthar - Analysis, 2024 - degruyter.com
In this paper, we investigate the matrix analogues of the Ψ-beta and Ψ-gamma functions, as
well as their properties. With the help of the Ψ-beta matrix function (BMF), we introduce the …
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Applications of General Summation Formulas Contiguous to q-Kummer Theorems

Y Vyas, S Pathak, K Fatawat - International workshop of Mathematical …, 2022 - Springer
This work is motivated essentially by the fact that the applications of basic (or q-)
hypergeometric functions are frequently needed in the form of summations, transformations …
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On a Class of New q-Hypergeometric Expansions as Discrete Analogues of the Erdélyi Type q-Integrals

AV Bhatnagar, Y Vyas - … of Mathematical Modelling, Applied Analysis and …, 2022 - Springer
Recently, Vyas et al. have developed an alternative way of proof for the Gasper's discrete
analogue of an Erdélyi integral and inspired from this new type of derivation they resolved …
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