Discrete analogues of the Erdélyi type integrals for hypergeometric functions
Y Vyas, AV Bhatnagar, K Fatawat… - Journal of …, 2022 - Wiley Online Library
Gasper followed the fractional calculus proof of an Erdélyi integral to derive its discrete
analogue in the form of a hypergeometric expansion. To give an alternative proof, we derive …
analogue in the form of a hypergeometric expansion. To give an alternative proof, we derive …
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 …
hypergeometric functions are frequently needed in the form of summations, transformations …
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 …
analogue of an Erdélyi integral and inspired from this new type of derivation they resolved …
Extensions of two q-series expansions with applications to biorthogonal rational functions
CM Joshi, Y Vyas - Applied mathematics and computation, 2007 - Elsevier
In this paper, we derive two most general possible q-hypergeometric expansion formulae for
12Φ11 (q) and rΦs (z), respectively. The results are unique in the sense that no such results …
12Φ11 (q) and rΦs (z), respectively. The results are unique in the sense that no such results …