Results 21 to 30 of about 3,871 (189)
Advances in Difference Equations, 2018 In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya +3 more
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Recursion formulas for certain quadruple hypergeometric functions
Advances in Difference Equations, 2021 A remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors.
Jihad Younis +4 more
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Some Results on the Extended Hypergeometric Matrix Functions and Related Functions
Journal of Mathematics, 2021 In this article, we discuss certain properties for generalized gamma and Euler’s beta matrix functions and the generalized hypergeometric matrix functions.
Mohamed Abdalla +2 more
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A Study of Generalized Hypergeometric Function and its Applications in Vary Disciplines
Shodh SariElementary functions, Bessel functions, Legendre functions and many other special functions are included in the large family of mathematical functions known as generalized hypergeometric functions.
Mr. Mukesh Kumar Mahala +1 more
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Researches in MathematicsThis research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
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ON GENERATING FUNCTIONS OF A GENERAL TRIPLE HYPERGEOMETRIC SERIES
Demonstratio Mathematica, 1988 The authors' main result is a generating relation involving Srivastava's general triple hypergeometric function \(F^{(3)}:\) \[ \sum^{\infty}_{n=0}\frac{(1+\alpha +m)_ n}{n!}F^{(3)}\left[ \begin{matrix} a::b;-;-:-n;-m-n;c-b;\\ c::-;-;-:1+\beta;1+\alpha;-;\end{matrix} x,y,z \right]t^ n= \] \[ =(1-y)^{-a}(1-t)^{-1-\alpha -m} F^{(3)}\left[ \begin{matrix ...
Pathan, M. A., Yasmeen
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Properties of Generalized Univariate Hypergeometric Functions [PDF]
Communications in Mathematical Physics, 2007 46 ...
van de Bult, F.J. +2 more
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Weighted hypergeometric functions and fractional derivative
Advances in Difference Equations, 2017 We introduce some weighted hypergeometric functions and the suitable generalization of the Caputo fractional derivation. For these hypergeometric functions, some linear and bilinear relations are obtained by means of the mentioned derivation operator ...
JE Restrepo +3 more
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Open Physics, 2022 The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi +4 more
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Fractional operators with generalized Mittag-Leffler k-function
Advances in Difference Equations, 2019 In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
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