On the (p, q)-Mellin Transform and Its Applications

被引：6
|
作者：
Jain, Pankaj [1 ]
Basu, Chandrani [1 ]
Panwar, Vivek [1 ]
机构：
[1] South Asian Univ Akbar Bhawan, Dept Math, New Delhi 110021, India
来源：
ACTA MATHEMATICA SCIENTIA | 2021年 / 41卷 / 05期
关键词：
q-Mellin transform; (p; q)-Mellin transform; inversion formula; convolution; integral equation; MELLIN TRANSFORM; BEZIER CURVES; Q)-ANALOG;
D O I：
10.1007/s10473-021-0519-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce and study a (p, q)-Mellin transform and its corresponding convolution and inversion. In terms of applications of the (p, q)-Mellin transform, we solve some integral equations. Moreover, a (p, q)-analogue of the Titchmarsh theorem is also derived.
引用
收藏
页码：1719 / 1732
页数：14
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