On (p,q)-Sumudu and (p,q)-Laplace Transforms of the Basic Analogue of Aleph-Function

In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables. On account of the general nature of the ( p , q ) -analogue of Aleph-function, a large number of new and known results for these transfor...

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Bibliographic Details
Published in:Symmetry (Basel) Vol. 12; no. 3; p. 390
Main Authors: Tassaddiq, Asifa, Bhat, Altaf Ahmad, Jain, D. K., Ali, Farhad
Format: Journal Article
Language:English
Published: 01.03.2020
ISSN:2073-8994, 2073-8994
Online Access:Get full text
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Summary:In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables. On account of the general nature of the ( p , q ) -analogue of Aleph-function, a large number of new and known results for these transforms were obtained. Also, we obtain some interesting relationships and identities for these transforms. We also derive some correlations among Aleph function and the above-mentioned integral transforms in quantum calculus.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12030390