Bessel-Maitland Function of Several Variables and its Properties Related to Integral Transforms and Fractional Calculus

被引：0

作者：

Chandola, Ankita ^{[1
]}

Pandey, Rupakshi Mishra ^{[1
]}

Agarwal, Ritu ^{[2
]}

机构：

[1] Amity Univ, Amity Inst Appl Sci, Noida, Uttar Pradesh, India

[2] Malaviya Natl Inst Technol, Dept Math, Jaipur, Rajasthan, India

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2021年 / 16卷 / 01期

关键词：

Generalized Bessel-Maitland function; Extended beta function; Appell series; Lauricella function; Integral transforms; Fractional calculus;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the recent years, various generalizations of Bessel function were introduced and its various properties were investigated by many authors. Bessel-Maitland function is one of the generalizations of Bessel function. The objective of this paper is to establish a new generalization of Bessel-Maitland function using the extension of beta function involving Appell series and Lauricella functions. Some of its properties including recurrence relation, integral representation and differentiation formula are investigated. Moreover, some properties of Riemann-Liouville fractional operator associated with the new generalization of Bessel-Maitland function are also discussed.

引用

页码：439 / 450

页数：12