English

On Bibasic Humbert hypergeometric function $\Phi_1$

Classical Analysis and ODEs 2024-01-03 v3

Abstract

The main aim of this work is to derive the qq-recurrence relations, qq-partial derivative relations and summation formula of bibasic Humbert hypergeometric function Φ1\Phi_1 on two independent bases qq and q1q_{1} of two variables and some developments formulae, believed to be new, by using the conception of qq-calculus.

Keywords

Cite

@article{arxiv.2202.12697,
  title  = {On Bibasic Humbert hypergeometric function $\Phi_1$},
  author = {Ayed Aledamat and Ayman Shehata},
  journal= {arXiv preprint arXiv:2202.12697},
  year   = {2024}
}