Structure Relation of the Symmetric <i>q</i> ‐Dunkl‐Classical Orthogonal <i>q</i> ‐Polynomials

ABSTRACT The ‐Dunkl‐classical symmetric orthogonal ‐polynomials provide a unification and generalization of the ‐analogue of the generalized Hermite polynomials and the ‐analogue of the generalized Gegenbauer polynomials. In this paper, we characterize these polynomials by means of the so‐called structure relation. The paper concludes with an open problem based upon the findings of this paper.

Authors

Baghdadi Aloui
Jihad Souissi (ORCID: https://orcid.org/0000-0001-6694-2437)
H. M. Srivastava (ORCID: https://orcid.org/0000-0002-9277-8092)

Institutions

Chung Yuan Christian University (TW)
China Medical University (TW)
University of Victoria (CA)
Kyung Hee University (KR)
China Medical University Hospital (TW)
University of Gabès (TN)
Azerbaijan University (AZ)

Publication Details

Journal: Mathematical Methods in the Applied Sciences
Published: 2025-10-27
DOI: https://doi.org/10.1002/mma.70247
Primary Topic: Mathematical functions and polynomials
Type: article
Field-Weighted Citation Impact: 0.00

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article

Structure Relation of the Symmetric q ‐Dunkl‐Classical Orthogonal q ‐Polynomials

Baghdadi Aloui, Jihad Souissi, H. M. Srivastava

Oct 27, 2025

Mathematical Methods in the Applied Sciences

Mathematical functions and polynomials

article

Structure Relation of the Symmetric q ‐Dunkl‐Classical Orthogonal q ‐Polynomials

Baghdadi Aloui, Jihad Souissi, H. M. Srivastava

October 27, 2025article en

Abstract

ABSTRACT The ‐Dunkl‐classical symmetric orthogonal ‐polynomials provide a unification and generalization of the ‐analogue of the generalized Hermite polynomials and the ‐analogue of the generalized Gegenbauer polynomials. In this paper, we characterize these polynomials by means of the so‐called structure relation. The paper concludes with an open problem based upon the findings of this paper.

Mathematical Methods in the Applied SciencesVol. 49(4)

Chung Yuan Christian University (TW), China Medical University (TW), University of Victoria (CA), Kyung Hee University (KR), China Medical University Hospital (TW), University of Gabès (TN), Azerbaijan University (AZ)

Openalex Percentile: Top 57%

Mathematical functions and polynomials

DOI Source OpenAlex

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Structure Relation of the Symmetric <i>q</i> ‐Dunkl‐Classical Orthogonal <i>q</i> ‐Polynomials — Baghdadi Aloui, Jihad Souissi, et al. · Mathematical Methods in the Applied Sciences (2025) | TGRS Research Map | TGRS