Summation formula for generalized discrete $q$-Hermite II polynomials

Published 26 Feb 2019 in math-ph, math.CA, and math.MP | (1902.09994v1)

Abstract: In this paper, we provide a family of generalized discrete $q$-Hermite II polynomials denoted by $\tilde{h}_{n,\alpha}(x,y|q)$. An explicit relations connecting them with the $q$-Laguerre and Stieltjes-Wigert polynomials are obtained. Summation formula is derived by using different analytical means on their generating functions.

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Sama Arjika

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