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On Bibasic Humbert hypergeometric function $Φ_1$ (2202.12697v3)

Published 24 Feb 2022 in math.CA

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 $\Phi_1$ 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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