由分数贝塞尔导数定义的雅可比型函数

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-08-12 DOI:10.1080/10652469.2022.2108419

F. Bouzeffour, W. Jedidi

引用次数: 2

摘要

摘要对于一类偶权函数，利用分数阶Rodrigues型公式，利用贝塞尔算子定义了经典Jacobi多项式和Laguerre多项式的推广，其形式为:研究了它们的性质，包括超几何表示、微分递归关系和分数边值问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Jacobi-type functions defined by fractional Bessel derivatives

ABSTRACT For a class of even weight functions, generalizations of the classical Jacobi and Laguerre polynomials are defined via fractional Rodrigues' type formulas using the Bessel operators in the form . Their properties, including hypergeometric representation, differential recurrence relations and fractional boundary value problem, are investigated.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.