Results 11 to 20 of about 3,400 (148)

A new generalization of confluent hypergeometric function and whittaker function

Boletim da Sociedade Paranaense de Matemática, 2018
In this article, we introduce a further generalizations of the confluent hypergeometric function and Whittaker function by introducing an extra parameter in the extended con uent hypergeometric function dened by Parmar [15].
Nabiullah Khan, Talha Usman, Mohd Ghayasuddin   +2 more
doaj   +2 more sources

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

, 2011
The main object of this paper is to present generaliza-tion of extended beta function, extended hypergeometric and con-uent hypergeometric function introduced by Chaudhry et al.
Dong-Myung Lee, Arjun K. Rathie, Rakesh K. Parmar, Yong-Sup Kim   +3 more
openalex   +2 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

EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

, 2014
Recently several authors have extended the Gamma function, Beta function, the hypergeometric function, and the con- uent hypergeometric function by using their integral representa- tions and provided many interesting properties of their extended ...
Junesang Choi, Arjun K. Rathie, Rakesh K. Parmar   +2 more
openalex   +2 more sources

Bounds for novel extended beta and hypergeometric functions and related results

Journal of Inequalities and Applications
We introduce a new unified extension of the integral form of Euler’s beta function with a MacDonald function in the integrand and establish functional upper bounds for it.
Rakesh K. Parmar, Tibor K. Pogány
doaj   +2 more sources

On Voigt-Type Functions Extended by Neumann Function in Kernels and Their Bounding Inequalities

Axioms
The principal aim of this paper is to introduce the extended Voigt-type function Vμ,ν(x,y) and its counterpart extension Wμ,ν(x,y), involving the Neumann function Yν in the kernel of the representing integral.
Rakesh K. Parmar, Tibor K. Pogány, Uthara Sabu   +2 more
doaj   +2 more sources

A new generalized beta function associated with statistical distribution and fractional kinetic equation

Boletim da Sociedade Paranaense de Matemática
Several authors have extensively investigated beta function, hypergeometric function and confluent  hypergeometric function, their extensions and generalizations due to their several application in many areas of engineering, probability theory and ...
Savita Panwar, Prakriti Rai, Rupakshi Mishra Pandey   +2 more
doaj   +2 more sources

A New Extension of Extended Beta , Hypergeometric and confluent functions by using the product of two Wright Function and it's Applications

Journal of Science & Technology

openalex   +2 more sources

Applications of Inequalities in the Complex Plane Associated with Confluent Hypergeometric Function

Symmetry, 2021
The idea of inequality has been extended from the real plane to the complex plane through the notion of subordination introduced by Professors Miller and Mocanu in two papers published in 1978 and 1981. With this notion came a whole new theory called the
G. Oros
semanticscholar   +1 more source

Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function

Journal of New Theory, 2022
The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties ...
Umar Muhammad Abubakar
doaj   +1 more source