Fractional operators for the Wright hypergeometric matrix functions

M Abdalla - Advances in Difference Equations, 2020 - Springer
In this paper, we contribute to the results of Bakhet et al.(Integral Transforms Spec. Funct. 30:
138–156, 2019) by applying fractional operators to the Wright hypergeometric matrix …

A new extension of Srivastava's triple hypergeometric functions and their associated properties

A Saboor, G Rahman, Z Anjum, KS Nisar, S Araci - Analysis, 2021 - degruyter.com
In this paper, we define a new extension of Srivastava's triple hypergeometric functions by
using a new extension of Pochhammer's symbol that was recently proposed by Srivastava …

Properties and applications of a new extended Gamma function involving confluent hypergeometric function

A Saboor, G Rahman, H Ali, KS Nisar… - Journal of …, 2021 - Wiley Online Library
In this paper, a new confluent hypergeometric gamma function and an associated confluent
hypergeometric Pochhammer symbol are introduced. We discuss some properties, for …

On Gaussian hypergeometric functions of three variables: some new integral representations

MG Bin-Saad, MJS Shahwan, JA Younis… - Journal of …, 2022 - Wiley Online Library
The present paper establishes several new integral representations of the Euler type and
Laplace type for some Gauss hypergeometric functions of three variables. The main results …

Fractional integration and differentiation of the (pq)-extended -hypergeometric function and related Jacobi transforms

M Gupta, K Modi, NS Solanki, S Ali - The Journal of Analysis, 2022 - Springer
The area of fractional calculus (FC) has been fast developing and is presently being applied
in all scientific fields. Therefore, it is of key relevance to assess the present state of …

HYPERGEOMETRIC FORMS OF SOME COMPOSITE FUNCTIONS CONTAINING ARCCOSINE (x) USING MACLAURIN'S EXPANSION.

MI Qureshi, J Majid, AH Bhat - South East Asian Journal of …, 2020 - search.ebscohost.com
In this article, we have derived the hypergeometric forms of some composite functions
containing, arccosine (a;) and arccosh (x) like: exp... series expansion, the Taylor's series …

[PDF][PDF] Degenerate Pochhammer symbol, degenerate Sumudu transform, and degenerate hypergeometric function with applications

O YAĞCI, R Şahin - Hacettepe Journal of Mathematics and Statistics, 2021 - dergipark.org.tr
In the paper, we first define degenerate Pochhammer symbol by using degenerate gamma
function and investigate its properties. By using degenerate Pochhammer symbol, we …

Extension of Pochhammer symbol, generalized hypergeometric function and τ-Gauss hypergeometric function

KS Yadav, B Sharan, A Verma - Analysis, 2024 - degruyter.com
We introduce new extension of the extended Pochhammer symbol and gamma function by
using the extended Mittag-Leffler function. We also present extension of the generalized …

A new extensions of Gegenbauer polynomials

AA Atash, AA Al-Gonah - Electronic Journal of University of Aden for Basic …, 2020 - ejua.net
The main aim of this paper is to introduce new extensions of Gegenbauer polynomials of
one and two variables by using the extended Gamma function given by Chaudhry and …

An Expansion of the Bessel-Maitland Function and its Associated Properties

S Mubeen, I Nayab - Applications of Mathematical Sciences, 2023 - journals.smarcons.com
Certain interesting progress inspired like as generalized Pochhammer symbols and
extension of the hypergeometric function in special functions, we consider an extension of …