Results 41 to 50 of about 6,414,890 (238)

Some Monotonicity Properties of the q-Gamma Function [PDF]

open access: yes, 2005
We prove some properties of completely monotonic functions and apply them to obtain new results on gamma and q-gamma ...
Gao, Peng
core   +6 more sources

An extension of beta function, its statistical distribution, and associated fractional operator

open access: yesAdvances 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

Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q-Hypergeometric Function

open access: yesMathematics, 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

Stationary convection-diffusion between two co-axial cylinders [PDF]

open access: yes, 2007
In this note, we examine the high Peclet number limit of the stationary extended Graetz problem for which two families of real and imaginary eigenvalues are associated, respectively, with a downstream convective relaxation and the upstream diffusive ...
Plouraboué, Franck, Pierre, Charles
core   +1 more source

Extended Riemann-Liouville type fractional derivative operator with applications

open access: yesOpen 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

Hypergeometric functions in arithmetic geometry [PDF]

open access: yes, 2009
textHypergeometric functions seem to be ubiquitous in mathematics. In this document, we present a couple of ways in which hypergeometric functions appear in arithmetic geometry.
Salerno, Adriana Julia, 1979-
core   +1 more source

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

open access: yesAdvances 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

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

open access: yesComplexity, 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

A Class of Extended Fractional Derivative Operators and Associated Generating Relations Involving Hypergeometric Functions

open access: yesAxioms, 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

New extension of beta, Gauss and confluent hypergeometric functions

open access: yesCumhuriyet Science Journal, 2021
There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar   +1 more
doaj   +1 more source

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