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arXiv · 2202.12697

On Bibasic Humbert hypergeometric function $Φ_1$

Ayed Aledamat·Ayman Shehata
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Abstract

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.

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Ayed Aledamat, Ayman Shehata. 2023-03-25. On Bibasic Humbert hypergeometric function $Φ_1$. https://doi.org/10.47836/mjms.17.1.07

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