Articles

TWO DIMENSIONAL MELLIN TRANSFORM IN QUANTUM CALCULUS

  • Kamel BRAHIM ,
  • Latifa RIAHI
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  • Faculty of Sciences of Tunis. University of Tunis El Manar, Tunisia

Received date: 2016-08-17

  Online 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.

Cite this article

Kamel BRAHIM , Latifa RIAHI . TWO DIMENSIONAL MELLIN TRANSFORM IN QUANTUM CALCULUS[J]. Acta mathematica scientia, Series B, 2018 , 38(2) : 546 -560 . DOI: 10.1016/S0252-9602(18)30765-3

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