Results 31 to 40 of about 3,368,441 (216)

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, Ashish Verma, Hassen Aydi, Kottakkaran Sooppy Nisar, Habes Alsamir   +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, Sahar Ahmed Idris, Ibrahim Mekawy   +2 more
doaj   +1 more source

Contiguity Relations for Generalized Hypergeometric Functions [PDF]

Transactions of the American Mathematical Society, 1995
It is well known that the hypergeometric functions \[ 2
Adolphson, Alan, Dwork, Bernard
openaire   +2 more sources

A Study of Generalized Hypergeometric Function and its Applications in Vary Disciplines

Shodh Sari
Elementary 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, Dr. Rahul Sharma   +1 more
doaj   +1 more source

Hypergeometric Functions

, 2021
U ovom radu definirali smo opći oblik hipergeometrijske funkcije te se bliže upoznali s nekim specijalnim funkcijama kao što su generalizirane hipergeometrijske funkcije, Gaussova hipergeometrijska funkcija i konfluentna hipergeometrijska funkcija ...
Bijelić, Aleksandra
core   +2 more sources

New class of generating functions associated with generalized hypergeometric polynomials [PDF]

, 2003
In this paper authors prove a general theorem on generating relations for a certain sequence of functions. Many formulas involving the families of generating functions for generalized hypergeometric polynomials are shown here to be special cases of a ...
Khan, N.U., Qureshi, M.I., Pathan, M.A.
core   +1 more source

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Researches in Mathematics
This 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
doaj   +1 more source

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
openaire   +2 more sources

Inequalities for generalized hypergeometric functions [PDF]

, 1972
It is shown that some well-known Padé approximations for a particular form of the Gaussian hypergeometric function and two of its confluent forms give upper and lower bounds for these functions under suitable restrictions on the parameters and variable ...
Luke, Yudell L
core   +1 more source

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, A Kılıçman, P Agarwal, Omer Altun   +3 more
doaj   +1 more source