Results 11 to 20 of about 40,502 (261)

A New Extension of the τ-Gauss Hypergeometric Function and Its Associated Properties

Mathematics, 2019
In this article, we define an extended version of the Pochhammer symbol and then introduce the corresponding extension of the τ-Gauss hypergeometric function.
Hari Mohan Srivastava, Asifa Tassaddiq, Gauhar Rahman, Kottakkaran Sooppy Nisar, Ilyas Khan   +4 more
doaj   +2 more sources

On Extensions of Extended Gauss Hypergeometric Function

Communications in Advanced Mathematical Sciences, 2019
The aim of this paper is to introduce a new extensions of extended Gauss hypergeometric function. Certain integral representations, transformation and summation formulas for extended Gauss hypergeometric function are presented and some special cases are ...
Ahmed Ali Atash, Salem Saleh Barahmah, Maisoon Ahmed Kulib   +2 more
doaj   +3 more sources

Extended Conformable K-Hypergeometric Function and Its Application

Advances in Mathematical Physics
The extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including
Maham Abdul Qayyum, Aya Mohammed Dhiaa, Abid Mahboob, Muhammad Waheed Rasheed, Abdu Alameri   +4 more
doaj   +2 more sources

Properties and Applications of Extended Hypergeometric Functions

Ingeniería y Ciencia, 2014
In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions.
Daya Krishna Nagar, Raúl Alejandro Morán-Vásquez, Arjun K Gupta   +2 more
doaj   +4 more sources

An extended Mittag Leffler function in terms of extended Wright complex hypergeometric function

Alexandria Engineering Journal
Advanced mathematical ideas such as the fractional integral operator and the Mittag-Leffler (M-L) function offer a strong foundation for comprehending complicated systems with memory and fractional dynamics.
Noreen Saba, Sana Maqsood, Muhammad Asghar, Ghulam Mustafa, Faheem Khan   +4 more
doaj   +2 more sources

Differential inequalities imposed by the extended hypergeometric function. [PDF]

Springerplus, 2016
Recently, the generalized hypergeometric function is extended by utilizing the Beta function. Based on this type of function, we introduce a new operator in the open unit disk. The present article investigates some subordination and superordination results for certain normalized analytic functions in the open unit disk, which are acted upon by the ...
Ibrahim RW, Ahmad MZ, Al-Janaby HF.
europepmc   +4 more sources

Fractional Calculus of the Extended Hypergeometric Function [PDF]

Applied Mathematics and Nonlinear Sciences, 2020
Abstract 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 generalized form of the fractional kinetic equation involving the generalized
Sahin, Recep, Yagci, Oguz
openaire   +3 more sources

GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]

Honam Mathematical Journal, 2011
Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas ...
Lee, Dong Myung, Rathie, Arjun K., Parmar, Rakesh K., Kim, Young Sup   +3 more
openaire   +2 more sources

Certain fractional formulas of the extended k-hypergeometric functions [PDF]

Advances in Difference Equations, 2021
AbstractIn this article, we aim to investigate various formulae for the $(p,k)$ ( p , k ) -analogues of Gauss hypergeometric functions, including the integral transforms and the operators of fractional calculus.
Mohamed Abdalla, Salah Boulaaras, Mohamed Akel, Sahar Ahmed Idris, Shilpi Jain   +4 more
openaire   +3 more sources

Hypergeometric type extended bivariate zeta function

Tamkang Journal of Mathematics, 2023
Based on the generalized extended beta function, we shall introduce and study a new hypergeometric-type extended zeta function together with related integral representations, differential relations, finite sums, and series expansions. Also, we present a relationship between the extended zeta function and the Laguerre polynomials.
Pathan, M. A., Shahwan, Mohannad J. S., Bin-Saad, Maged G.   +2 more
openaire   +1 more source