Results 81 to 90 of about 6,510,130 (173)

Krätzel Function as a Function of Hypergeometric Type

, 2006
The paper is devoted to the study of the function Zνρ(x) defined for positive x > 0, real ρ ∈ R and complex ν ∈ C, being such that Re(ν) < 0 for ρ ≤ 0, [...] Such a function was earlier investigated for ρ > 0.
Trujillo, Juan, Saxena, R. K., Kilbas, Anatoly   +2 more
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Fractional Calculus of the Extended Hypergeometric Function

, 2020
Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher ...
Sahin, Recep, Yagci, Oguz, Recep Şahin, Oğuz Yağcı   +3 more
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On certain fractional calculus operators involving generalized Mittag-Leffler function [PDF]

Sahand Communications in Mathematical Analysis, 2016
The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25].
Dinesh Kumar
doaj  

On a new generalized class of p-valent functions and its mapping conditions by a Wright's generalized hypergeometric operator

Boletim da Sociedade Paranaense de Matemática
A generalized class $R_{\gamma }^{\tau }(m,p,A,B)$ involving $(m-1)^{th}$ and $m^{th}$ derivatives of $p$-valent functions is defined and its integral representation, coefficient condition and a sufficient condition for a function to be in this class are obtained in this work.
Harshita Bhardwaj, Poonam Sharma
openaire   +1 more source

Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions [PDF]

, 1991
We evaluate an integral involving an Hermite polynomial, a generalized hypergeometric series and Fox's H-function, and employ it to evaluate a double integral involving Hermite polynomials, generalized hypergeometric series and the H-function. We further
Mishra, Sadhana
core  

Integral representations of generalized Lauricella hypergeometric functions [PDF]

, 1992
The generalized hypergeometric function was introduced by Srivastava and Daoust. In the present paper a new integral representation is derived.
Vu Kim Tuan, R. G. Buschman, Vu Kim Tuan   +2 more
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Summation formulas for Fox-Wright function

, 2018
By means of inversion techniques and several known hypergeometric series identities, summation formulas for Fox-Wright function are explored.
Dianxuan Gong, Wei, Chuanan, Gong, Dianxuan, Liu, Lily Li, Lily Li Liu, Chuanan Wei   +5 more
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Some Properties of Extended Hypergeometric Function and Its Transformations

, 2018
There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent ...
Prakriti Rai, Aparna Chaturvedi
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Saigo fractional integral operators with incomplete R-functions kernel

Mathematics Open
Fractional calculus has emerged as a robust analytical framework with wide-ranging applications across mathematical analysis, including differential and integral equations, special functions, and series representations.
Priti Purohit, Ravi Gupta, Shyamsunder
doaj   +1 more source

INTEGRAL INVOLVING ALEPH-FUNCTION AND THE GENERALIZED INCOMPLETE HYPERGEOMETRIC FUNCTION

, 2021
The aim of this paper is to establish a general definite integrals involving product of the Aleph function and generalized incomplete hypergeometric function with general arguments.

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