Research Abstract
The main aim of the present work is to give some interesting the q-analogues of various q-recurrence
relations, q-recursion formulas, q-partial derivative relations, q-integral representations, transformation and
summation formulas for bibasic Humbert hypergeometric functions 1 and 2 on two independent bases q and
p of two variables, believed to be new, by using the conception of q-calculus. Finally, some interesting special
cases and straightforward identities connected with bibasic Humbert hypergeometric series of the types 1 and
2 are established when the two independent bases q and p are equal.
Research Date
Research Department
Research File
s13226-025-00790-w.pdf
(389.41 KB)
Research Journal
Indian Journal of Pure and Applied Mathematics
Research Member
Research Pages
16
Research Publisher
Indian National Science Academy
Research Rank
Q3
Research Website
https://doi.org/10.1007/s13226-025-00790-w
Research Year
2025