数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (2): 546-560.doi: 10.1016/S0252-9602(18)30765-3

• 论文 • 上一篇    下一篇

TWO DIMENSIONAL MELLIN TRANSFORM IN QUANTUM CALCULUS

Kamel BRAHIM, Latifa RIAHI   

  1. Faculty of Sciences of Tunis. University of Tunis El Manar, Tunisia
  • 收稿日期:2016-08-17 出版日期:2018-04-25 发布日期:2018-04-25
  • 作者简介:Kamel BRAHIM,E-mail:Kamel.Brahim@ipeit.rnu.tn;Latifa RIAHI,E-mail:riahilatifa2013@gmail.com

TWO DIMENSIONAL MELLIN TRANSFORM IN QUANTUM CALCULUS

Kamel BRAHIM, Latifa RIAHI   

  1. Faculty of Sciences of Tunis. University of Tunis El Manar, Tunisia
  • Received:2016-08-17 Online:2018-04-25 Published:2018-04-25

摘要:

In this article, we introduce the two dimensional Mellin transform Mq (f)(s, t), give some properties, establish the Paley-Wiener theorem and Plancherel formula, present the Hausdorff-Young inequality, and find several applications for the two dimensional Mellin transform.

关键词: Quantum calculus, Two dimensional Mellin transform, q-Double integral

Abstract:

In this article, we introduce the two dimensional Mellin transform Mq (f)(s, t), give some properties, establish the Paley-Wiener theorem and Plancherel formula, present the Hausdorff-Young inequality, and find several applications for the two dimensional Mellin transform.

Key words: Quantum calculus, Two dimensional Mellin transform, q-Double integral