Division problem of a regular symmetric form the case x 3 u = λxv

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-09-25 DOI:10.1080/10652469.2022.2125964

M. Mejri, T. Marzouki

引用次数: 0

Abstract

ABSTRACT We study the following problem: given a regular symmetric form (linear functional) v, find all the regular symmetric forms u which satisfy the equation . We give the second-order recurrence relation of the orthogonal polynomial sequence with respect to u. Moreover, in the case where v is a semi-classical form of class s, we show that u is semi-classical and its class is analyzed in term of the class of v. An example is highlighted.

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在x3u = λxv情况下的正则对称除法问题

摘要我们研究了以下问题：给定一个正则对称形式（线性泛函）v，找到满足该方程的所有正则对称形式u。我们给出了正交多项式序列相对于u的二阶递推关系。此外，在v是类s的半经典形式的情况下，我们证明了u是半经典的，并且用v的类来分析它的类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.