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

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