On Bibasic Humbert hypergeometric function $Φ_1$

Fuente: arXiv
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Autori principali: Aledamat, Ayed, Shehata, Ayman
Natura: Preprint
Pubblicazione: 2022
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author Aledamat, Ayed
Shehata, Ayman
author_facet Aledamat, Ayed
Shehata, Ayman
contents The main aim of this work is to derive the $q$-recurrence relations, $q$-partial derivative relations and summation formula of bibasic Humbert hypergeometric function $Φ_1$ on two independent bases $q$ and $q_{1}$ of two variables and some developments formulae, believed to be new, by using the conception of $q$-calculus.
format Preprint
id arxiv_https___arxiv_org_abs_2202_12697
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle On Bibasic Humbert hypergeometric function $Φ_1$
Aledamat, Ayed
Shehata, Ayman
Classical Analysis and ODEs
The main aim of this work is to derive the $q$-recurrence relations, $q$-partial derivative relations and summation formula of bibasic Humbert hypergeometric function $Φ_1$ on two independent bases $q$ and $q_{1}$ of two variables and some developments formulae, believed to be new, by using the conception of $q$-calculus.
title On Bibasic Humbert hypergeometric function $Φ_1$
topic Classical Analysis and ODEs
url https://arxiv.org/abs/2202.12697