[PDF][PDF] On a new generalized beta function defined by the generalized Wright function and its applications

UM Abubakar, S Patel - Malaysian Journal of Computing, 2021 - mjoc.uitm.edu.my
Various extensions of classical gamma, beta, Gauss hypergeometric and confluent
hypergeometric functions have been proposed recently by many researchers. In this paper …

An integral transform and its application in the propagation of Lorentz-Gaussian beams

A Belafhal, EM El Halba, T Usman - Communications in …, 2021 - cm.episciences.org
The aim of the present note is to derive an integral transform I=∫ 0∞ xs+ 1 e-β x 2+ γ x M k,
v (2 ζ x 2) J μ (χ x) dx, I=\int_0^ ∞ x^ s+ 1 e^-β x^ 2+ γ x M_ k, v\left (2 ζ x^ 2\right) J μ\left (χ …

Some inequalities involving two generalized beta functions in n variables

M Raïssouli, SI El-Soubhy - Journal of Inequalities and Applications, 2021 - Springer
The beta and gamma functions have recently seen several developments and various
extensions because of their nice properties and interesting applications. The contribution of …

Integral transforms and probability distributions for a certain class of Fox–Wright type functions and its applications

A Kumar, S Das - Mathematics and Computers in Simulation, 2023 - Elsevier
Main focus of this paper is to introduce a new class of Fox–Wright type functions and obtain
several new integral representations and various integral transforms such as Mellin …

[PDF][PDF] FINITE INTEGRALS ASSOCIATED WITH THE PRODUCT OF ORTHOGONAL POLYNOMIALS AND WRIGHT FUNCTION

N Khan, MI Khan, O Khan - Honam Mathematical Journal, 2021 - researchgate.net
Several useful and interesting extensions of the various special functions have been
introduced by many authors during the last few decades. Various integral formulas …

[PDF][PDF] CERTAIN FINITE INTEGRALS INVOLVING GENERALIZED WRIGHT FUNCTION

NU Khan, MI Khan, O Khan - … Mathematical Models & …, 2021 - jomardpublishing.com
The primary goal of this article is to infer new integral formulas for the generalized Wright
function and for its auxiliary functions, communicated in terms of generalized Wright …

Some inequalities involving two generalized beta functions in n variables

R Mustapha, SI El-Soubhy - Journal of Inequalities and …, 2021 - search.proquest.com
The beta and gamma functions have recently seen several developments and various
extensions because of their nice properties and interesting applications. The contribution of …