Results 31 to 40 of about 40,502 (261)

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

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
doaj   +1 more source

A (p, ν)-extension of the Appell function F1(·) and its properties [PDF]

, 2019
In this paper, we obtain a (p, v)-extension of the Appell hypergeometric functionF1(·), together with its integral representation, by using the extended Beta functionBp,v(x, y) introduced in [9].
Dar, S. A., Paris, R. B.
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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

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

Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function

Journal of Inequalities and Applications, 2018
In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for synchronous (or asynchronous, respectively ...
Kottakkaran Sooppy Nisar, Feng Qi, Gauhar Rahman, Shahid Mubeen, Muhammad Arshad   +4 more
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The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies [PDF]

, 1996
The algebraic and Hamiltonian structures of the multicomponent dispersionless Benney and Toda hierarchies are studied. This is achieved by using a modified set of variables for which there is a symmetry between the basic fields.
Aoyama S, Benney D J, Bureau F J, Bureau F J, Carroll R, D B Fairlie, Dubrovin B A, Dubrovin B A, Eguchi T, Eguchi T, Enriquez B, Gel'fand I M, Gibbons J, I A B Strachan, Kruskal M D, Kuperschmidt B A, Sato M, Son S H, Strachan I A B, Tsarev S P, Tsarev S P   +20 more
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Extended Matrix Variate Hypergeometric Functions and Matrix Variate Distributions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2015
Hypergeometric functions of matrix arguments occur frequently in multivariate statistical analysis. In this paper, we define and study extended forms of Gauss and confluent hypergeometric functions of matrix arguments and show that they occur naturally in statistical distribution theory.
Daya K. Nagar, Raúl Alejandro Morán‐Vásquez, Arjun K. Gupta   +2 more
openaire   +3 more sources

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
doaj   +1 more source