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

页码：1719 / 1732

页数：14

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