basic analogue
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2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Dinesh Kumar ◽  
Frédéric Ayant ◽  
Jessada Tariboon

In this article, fractional order q-integrals and q-derivatives involving a basic analogue of multivariable H-function have been obtained. We give an application concerning the basic analogue of multivariable H-function and q-extension of the Leibniz rule for the fractional q-derivative for a product of two basic functions. We also give the corollary concerning basic analogue of multivariable Meijer’s G-function as a particular case of the main result.



Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 390
Author(s):  
Asifa Tassaddiq ◽  
Altaf Ahmad Bhat ◽  
D. K. Jain ◽  
Farhad Ali

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.



2019 ◽  
Vol 118 (2) ◽  
pp. 189-211
Author(s):  
Altaf Ahmad Bhat ◽  
Garima Singh ◽  
Renu Jain ◽  
D. K. Jain


2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Nejla Özmen

The main purpose of this paper is to examine a basic (or q-) analogue of the generalized Cesàro polynomials described here. We derive a bilateral q-generating function involving basic analogue of Fox’s H-function and q-generalized Cesàro polynomials.



2018 ◽  
Vol 12 (1) ◽  
pp. 1-7
Author(s):  
Javid Ahmad Ganie ◽  
Renu Jain


2017 ◽  
Vol 11 (1) ◽  
pp. 12-17
Author(s):  
Javid Ahmad Gani ◽  
Altaf Ahmad ◽  
Renu Jain


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