Generalized homogeneous Rogers–Szegö polynomials and identities: Part II

This paper addresses the generalized Cauchy operator and its properties. Moreover, the construction of the homogeneous Rogers–Szegö polynomials and identities such as the generating function, Mehler and Rogers formulas as well as extended identities for the generalized homogeneous Rogers–Szegö polynomials are provided in the framework of the [Formula: see text]-deformed algebras.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2025-11-20
DOI
https://doi.org/10.1142/s0219887826400013
Primary Topic
Algebraic and Geometric Analysis
Type
article
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article

Generalized homogeneous Rogers–Szegö polynomials and identities: Part II

Fridolin Melong, Mahouton Norbert Hounkonnou
International Journal of Geometric Methods in Modern Physics
Algebraic and Geometric Analysis
article

Generalized homogeneous Rogers–Szegö polynomials and identities: Part II

Fridolin Melong, Mahouton Norbert Hounkonnou
article en

Abstract

This paper addresses the generalized Cauchy operator and its properties. Moreover, the construction of the homogeneous Rogers–Szegö polynomials and identities such as the generating function, Mehler and Rogers formulas as well as extended identities for the generalized homogeneous Rogers–Szegö polynomials are provided in the framework of the [Formula: see text]-deformed algebras.

International Journal of Geometric Methods in Modern PhysicsVol. 23(06)
Poma International Business University (BJ), Université d'Abomey-Calavi (BJ)
Openalex Percentile: Top 52%
Algebraic and Geometric Analysis
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