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Generalized homogeneous Rogers-Szegö polynomials and identities
  • M. N. Hounkonnou,
  • Fridolin Melong
M. N. Hounkonnou
Universite d'Abomey-Calavi

Corresponding Author:[email protected]

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Fridolin Melong
Universite d'Abomey-Calavi
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Abstract

This paper addresses the construction of Cauchy operators and related identities from R( p,q)-deformed quantum algebras. The generating function, Mehler and Rogers formulae, and their extended identities for the homogeneous Rogers-Szegö polynomials are computed and discussed. Relevant particular identities extracted from known quantum algebras are highlighted.
11 Aug 2023Submitted to Mathematical Methods in the Applied Sciences
11 Aug 2023Assigned to Editor
11 Aug 2023Submission Checks Completed
18 Aug 2023Review(s) Completed, Editorial Evaluation Pending
20 Aug 2023Reviewer(s) Assigned