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 …
[HTML][HTML] Extensions of the classical theorems for very well-poised hypergeometric functions
HM Srivastava, Y Vyas, K Fatawat - Revista de la Real Academia de …, 2019 - Springer
The well-known classical summation theorems due to Dougall and certain transformation
formulas due to Whipple and Bailey for very well-poised hypergeometric functions are …
formulas due to Whipple and Bailey for very well-poised hypergeometric functions are …
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 …