Jacobi-type functions defined by fractional Bessel derivatives

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

Abstract

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.

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由分数贝塞尔导数定义的雅可比型函数

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。

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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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