Results 31 to 40 of about 10,813 (246)
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 +2 more
openaire +2 more sources
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 +3 more
doaj +1 more source
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
doaj +1 more source
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
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 +2 more
openaire +4 more sources
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 +2 more
doaj +1 more source
Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions. [PDF]
MethodsXSpecial Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain.
Abdulnabi FF, Al-Janaby HF, Ghanim F.
europepmc +2 more sources
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 +3 more
doaj +1 more source
Axioms, 2012 Recently, an extended operator of fractional derivative related to a generalized Beta function was used in order to obtain some generating relations involving the extended hypergeometric functions [1].
H. M. Srivastava +2 more
doaj +1 more source