december 2022 On some perturbed $D_{-\omega}$-semiclassical orthogonal polynomials
Emna Abassi, Lotfi Khériji
Bull. Belg. Math. Soc. Simon Stevin 29(3): 333-357 (december 2022). DOI: 10.36045/j.bbms.211203

Abstract

Our goal is firstly to derive a revision of the basic theory of $D_{-\omega}$-semi-classical orthogonal polynomials and secondly to study the discrete semiclassical character of two standard perturbations of a $D_{\omega}$-semiclassical form into detail. Some illustrative examples are given.

Citation

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Emna Abassi. Lotfi Khériji. "On some perturbed $D_{-\omega}$-semiclassical orthogonal polynomials." Bull. Belg. Math. Soc. Simon Stevin 29 (3) 333 - 357, december 2022. https://doi.org/10.36045/j.bbms.211203

Information

Published: december 2022
First available in Project Euclid: 22 March 2023

Digital Object Identifier: 10.36045/j.bbms.211203

Subjects:
Primary: 33C45
Secondary: 42C05

Keywords: divided-difference equation , divided-difference operator , orthogonal polynomials , perturbations

Rights: Copyright © 2022 The Belgian Mathematical Society

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Vol.29 • No. 3 • december 2022
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