数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (5): 1719-1732.doi: 10.1007/s10473-021-0519-0

• 论文 • 上一篇    下一篇

ON THE (p,q)-MELLIN TRANSFORM AND ITS APPLICATIONS

Pankaj JAIN, Chandrani BASU, Vivek PANWAR   

  1. Department of Mathematics, South Asian University Akbar Bhawan, Chanakya Puri, New Delhi-110021, India
  • 收稿日期:2019-09-18 修回日期:2021-04-29 出版日期:2021-10-25 发布日期:2021-10-21
  • 通讯作者: Pankaj JAIN E-mail:pankaj.jain@sau.ac.in,pankajkrjain@hotmail.com
  • 作者简介:Chandrani BASU,E-mail:chandrani.basu@gmail.com;Vivek PANWAR,E-mail:vivek.pan1992@gmail.com

ON THE (p,q)-MELLIN TRANSFORM AND ITS APPLICATIONS

Pankaj JAIN, Chandrani BASU, Vivek PANWAR   

  1. Department of Mathematics, South Asian University Akbar Bhawan, Chanakya Puri, New Delhi-110021, India
  • Received:2019-09-18 Revised:2021-04-29 Online:2021-10-25 Published:2021-10-21
  • Contact: Pankaj JAIN E-mail:pankaj.jain@sau.ac.in,pankajkrjain@hotmail.com

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.

关键词: q-Mellin transform, (p,q)-Mellin transform, inversion formula, convolution, integral equation

Abstract: 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.

Key words: q-Mellin transform, (p,q)-Mellin transform, inversion formula, convolution, integral equation

中图分类号: 

  • 33D05