On Fractional q-Integral Operators Involving the Basic Analogue of Multivariable Aleph-Function
In the present article, we proposed the fractional-order Kober and generalized Weyl q-
integrals involving a basic (or q-) analogue of multivariable Aleph-function. Similar …
integrals involving a basic (or q-) analogue of multivariable Aleph-function. Similar …
Certain q-Analogue of Fractional Integrals and Derivatives Involving Basic Analogue of the Several Variable Aleph-Function
D Kumar, F Ayant, N Südland, J Choi - Axioms, 2023 - mdpi.com
Using Mellin-Barnes contour integrals, we aim at suggesting aq-analogue (q-extension) of
the several variable Aleph-function. Then we present Riemann Liouville fractional q-integral …
the several variable Aleph-function. Then we present Riemann Liouville fractional q-integral …
Certain expansion formulae of incomplete H-functions associated with Leibniz rule
In this article, we have derived some expansion formulae of the incomplete H-functions by
the use of the Leibniz rule for the Riemann-Liouville type derivatives. Further, expansion …
the use of the Leibniz rule for the Riemann-Liouville type derivatives. Further, expansion …
[PDF][PDF] A transformation involving basic multivariable I-function of Prathima
In this document an expansion formula for q-analogue of multivariable I-function have been
given by the applications of the q-Leibniz law for the q-derivatives of multiplication of two …
given by the applications of the q-Leibniz law for the q-derivatives of multiplication of two …
Certain new formulas for bibasic Humbert hypergeometric functions and
A Shehata - arXiv preprint arXiv:2207.01689, 2022 - arxiv.org
The main aim of the present work is to give some interesting the $ q $-analogues of various
$ q $-recurrence relations, $ q $-recursion formulas, $ q $-partial derivative relations, $ q …
$ q $-recurrence relations, $ q $-recursion formulas, $ q $-partial derivative relations, $ q …
Fractional derivatives and expansion formulae of incomplete and -functions
In this paper, we investigate the fractional derivatives and expansion formulae of incomplete
H and H-functions for one variable. Further, we also obtain results for repeated fractional …
H and H-functions for one variable. Further, we also obtain results for repeated fractional …
On Bibasic Humbert hypergeometric function
A Aledamat, A Shehata - arXiv preprint arXiv:2202.12697, 2022 - arxiv.org
The main aim of this work is to derive the $ q $-recurrence relations, $ q $-partial derivative
relations and summation formula of bibasic Humbert hypergeometric function $\Phi_1 $ on …
relations and summation formula of bibasic Humbert hypergeometric function $\Phi_1 $ on …
On transformation involving basic analogue to the Aleph-function of two variables
In our work, we derived the fractional order q-integrals and q-derivatives concerning a basic
analogue to the Aleph-function of two variables (AFTV). We discussed a related application …
analogue to the Aleph-function of two variables (AFTV). We discussed a related application …
On some properties of the bibasic Humbert hypergeometric functions Ξ1 and Ξ2
The main object of this paper is to deduce the bibasic Humbert functions Ξ1 and Ξ2 Some
interesting results and elementary summations technique that was successfully employed, q …
interesting results and elementary summations technique that was successfully employed, q …
ON FRACTIONAL q-DERIVATIVE INTEGRAL FORMULAE OF PRASAD'S I-FUNCTION I.
In the present research work, we have derived two theorems which involves integral
operators of Erdelyi-Kober type and a q-analogue of modified multivariable I-function. The …
operators of Erdelyi-Kober type and a q-analogue of modified multivariable I-function. The …