Jacobi-type functions defined by fractional Bessel derivatives

被引：7

作者：

Bouzeffour, Fethi ^{[1
]}

Jedidi, Wissem ^{[2
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[2] King Saud Univ, Dept Stat & OR, Riyadh, Saudi Arabia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2023年 / 34卷 / 03期

关键词：

Fractional Bessel operator; Jacobi polynomials; Rodrigues' representations; finite Jacobi functions; ORDER;

D O I：

10.1080/10652469.2022.2108419

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 (d(2)/dx(2))+((2 beta+1)/x)(d/dx). Their properties, including hypergeometric representation, differential recurrence relations and fractional boundary value problem, are investigated.

引用

页码：228 / 243

页数：16

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