Results 31 to 40 of about 10,852 (220)

Extension of exton's hypergeometric function K16

Cubo, 2021
The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11].
Ahmed Ali Atash, Maisoon Ahmed Kulib
doaj   +1 more source

EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

Honam Mathematical Journal, 2014
Summary: Recently several authors have extended the gamma function, beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions.
Choi, Junesang, Rathie, Arjun K., Parmar, Rakesh K.   +2 more
openaire   +2 more sources

Study of the Hypergeometric Equation via Data Driven Koopman-EDMD Theory

Axioms, 2023
We consider a data-driven method, which combines Koopman operator theory with Extended Dynamic Mode Decomposition. We apply this method to the hypergeometric equation which is the Fuchsian equation with three regular singular points.
Evangelos Melas, Costas Poulios, Elias Camouzis, John Leventides, Nick Poulios   +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. The current results for these functions include integral representations, transformation formula, recurrence relations, and integral transforms.
Mohamed Abdalla, Sahar Ahmed Idris, Ibrahim Mekawy   +2 more
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An extension of beta function, its statistical distribution, and associated fractional operator

Advances in Difference Equations, 2020
Recently, various forms of extended beta function have been proposed and presented by many researchers. The principal goal of this paper is to present another expansion of beta function using Appell series and Lauricella function and examine various ...
Ankita Chandola, Rupakshi Mishra Pandey, Ritu Agarwal, Sunil Dutt Purohit   +3 more
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Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q-Hypergeometric Function

Mathematics, 2023
The notions of strong differential subordination and its dual, strong differential superordination, have been introduced as extensions of the classical differential subordination and superordination concepts, respectively.
Alina Alb Lupaş, Georgia Irina Oros
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Extended Riemann-Liouville type fractional derivative operator with applications

Open Mathematics, 2017
The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
doaj   +1 more source

A new Riemann–Liouville type fractional derivative operator and its application in generating functions

Advances in Difference Equations, 2018
Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab, M. Faisal Khan, J. Luis Lopez-Bonilla   +2 more
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Note on extended hypergeometric function

Proyecciones (Antofagasta), 2019
In this paper, we present an extension of the classical hypergeometric functions using extended gamma function due to Jumarie and obtained some properties.
Ranjan Kumar Jana, Bhumika Maheshwari, Ajay Kumar Shukla   +2 more
openaire   +4 more sources

On the Matrix Versions of Incomplete Extended Gamma and Beta Functions and Their Applications for the Incomplete Bessel Matrix Functions

Complexity, 2021
In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix
Chaojun Zou, Mimi Yu, Ahmed Bakhet, Fuli He   +3 more
doaj   +1 more source