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

被引：0
作者：
Pankaj Jain
Chandrani Basu
Vivek Panwar
机构：
[1] South Asian University Akbar Bhawan,Department of Mathematics
来源：
Acta Mathematica Scientia | 2021年 / 41卷
关键词：
-Mellin transform; (; )-Mellin transform; inversion formula; convolution; integral equation; 33D05; 33D50; 33D60; 33D90;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1719 / 1732
页数：13
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[1]  
Fitouhi A(2006)The Mellin transform in quantum calculus Constr Approx 23 305-323
[2]  
Bettaibi N(2010)Some application of the Tamsui Oxford J Math Sci 26 335-343
[3]  
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[4]  
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[5]  
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[6]  
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[7]  
Brahim K(2016))-analogue of Laplace transform J Math Anal Appl 443 752-764
[8]  
Fitouhi A(2018)On the fundamental theorem of ( Results Math 73 9-477
[9]  
Brahim K(2017))-calculus and some ( J Comput Appl Math 317 458-21
[10]  
Riahi L(2019))-Taylor formulas Azerbaijan J Math 9 3-402
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