一类D-Laguerre-Hahn正交多项式的三次分解表征

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-12-26 DOI:10.1080/10652469.2022.2159959

L. Khériji, K. Omrani

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引用次数: 0

摘要

本文研究了由三次分解(CD)导出的单正交多项式序列(moops)。我们的目标是确定第一类序列的所有D-Laguerre-Hahn严格。从CD结构上看，与Jacobi型的0类D-Laguerre-Hahn有关的MOPS族在奇异情况和非奇异情况下只出现一个。它们的递归系数被突出显示。

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Characterization of the D-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition

In the present work, we deal with a monic orthogonal polynomial sequence (MOPS) deduced by its cubic decomposition (CD) . Our goal is to determine all D-Laguerre–Hahn strict of class one of these sequences. From the CD structure, only one family of MOPS appears in connection with the D-Laguerre–Hahn of class zero of Jacobi type in the singular case and the nonsingular one. Their recurrence coefficients are highlighted.

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.