Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (2): 546-560.doi: 10.1016/S0252-9602(18)30765-3

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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

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

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