On some semiclassical orthogonal polynomials on lattices

A new characterization of semiclassical orthogonal polynomials on a $q$-quadratic lattice from certain type of structure relations is given. These characterizations include classical ones and, in addition, extend the recent result [Mbouna, D. and Suzuki, A., {Some Appell-type orthogonal polynomials on lattices}, Ramanujan J. (2024) 64:807-822] in a more general case.

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Publication Details

Journal
Constructive Mathematical Analysis
Published
2025-09-02
DOI
https://doi.org/10.33205/cma.1605090
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00

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article

On some semiclassical orthogonal polynomials on lattices

A. Suzuki, D. Mbouna
Constructive Mathematical Analysis
Mathematical functions and polynomials
article

On some semiclassical orthogonal polynomials on lattices

A. Suzuki, D. Mbouna
article en

Abstract

A new characterization of semiclassical orthogonal polynomials on a $q$-quadratic lattice from certain type of structure relations is given. These characterizations include classical ones and, in addition, extend the recent result [Mbouna, D. and Suzuki, A., {Some Appell-type orthogonal polynomials on lattices}, Ramanujan J. (2024) 64:807-822] in a more general case.

Constructive Mathematical AnalysisVol. 8(3)
University of Coimbra (PT), La Rochelle Université (FR)
Universidade de Coimbra, Ministério da Ciência, Tecnologia e Ensino Superior, La Rochelle Université, Fundação para a Ciência e a Tecnologia
Openalex Percentile: Top 66%
Mathematical functions and polynomials
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