New intregral transform with generalized Bessel-Maitland function kernel and its applications

被引：6

作者：

Albayrak, Durmus ^{[1
]}

Dernek, Ahmet ^{[1
]}

Dernek, Nese ^{[1
]}

Ucar, Faruk ^{[1
]}

机构：

[1] Marmara Univ, Dept Math, Istanbul, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 02期

关键词：

Bessel function; Bessel-Maitland function; generalized Bessel-Maitland function; Hankel transform; Laplace transform;

D O I：

10.1002/mma.6837

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, authors introduce the generalized Bessel-Maitland transform whose kernel is the generalized Bessel-Maitland function. New identities are obtained for special cases of the generalized Bessel-Maitland function. Using these relations, several identities are obtained for generalized Bessel-Maitland integral transform. It is shown that some special cases of them are related with the Laplace transform and the Hankel transform. Also, some examples are given as representations of the outcomes presented here.

引用

页码：1394 / 1408

页数：15

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