Results 11 to 20 of about 687,469 (294)

Certain Results on Extended Beta and Related Functions Using Matrix Arguments

Journal of New Theory
In this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain, Rakibul Sk, Nabiullah Khan   +2 more
doaj   +4 more sources

On Extended Beta Function and Related Inequalities

Mathematics
In this article, we consider a unified generalized version of extended Euler’s Beta function’s integral form a involving Macdonald function in the kernel. Moreover, we establish functional upper and lower bounds for this extended Beta function.
Rakesh K. Parmar, Tibor K. Pogány, Ljiljana Teofanov   +2 more
doaj   +2 more sources

A Note on the New Extended Beta Function with Its Application [PDF]

Journal of Mathematics, 2021
The purpose of this research is to provide a systematic review of a new type of extended beta function and hypergeometric function using a confluent hypergeometric function, as well as to examine various belongings and formulas of the new type of ...
Vandana Palsaniya, Ekta Mittal, Sunil Joshi, D. L. Suthar   +3 more
doaj   +2 more sources

Fractional calculus of generalized Lommel-Wright function and its extended Beta transform

AIMS Mathematics, 2021
In this work, we apply generalized Saigo fractional differential and integral operators having k-hypergeometric function as a kernel, to extended Lommel-Wright function.
Saima Naheed , Shahid Mubeen, Thabet Abdeljawad   +2 more
doaj   +2 more sources

Extended investigation of the twelve-flavor $\beta$-function

Physics Letters B, 2017
We report new results from high precision analysis of an important BSM gauge theory with twelve massless fermion flavors in the fundamental representation of the SU(3) color gauge group.
Fodor, Zoltan, Holland, Kieran, Kuti, Julius, Nogradi, Daniel, Wong, Chik Him   +4 more
core   +3 more sources

Convexity and inequalities related to extended beta and confluent hypergeometric functions

AIMS Mathematics, 2019
In the paper, the authors establish the logarithmic convexity and some inequalities for the extended beta function and, by using these inequalities for the extended beta function, find the logarithmic convexity and the monotonicity for the extended ...
Feng Qi, Kottakkaran Sooppy Nisar, Gauhar Rahman   +2 more
doaj   +4 more sources

GENERALIZED EXTENDED BETA FUNCTION

International Journal of Applied Science and Research, 2023
: Special functions are crucial in defining the concept of fractional calculus. Over the years, numerous extensions and generalizations of the special functions were explored by many researchers. This paper presents a generalization of the extended beta function in [1].
Salım Rabı'u Kabara, Abdullahi Abdulkadir, Muhammad Auwal Lawan, Faısal Adam Idris, M. S. Musa, Sani Musa   +5 more
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A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
doaj   +3 more sources

Generalized Wright Function and Its Properties Using Extended Beta Function

Tamkang Journal of Mathematics, 2020
Solving a linear partial differential equation witness a noteworthy role of Wright function. Due to its usefulness and various applications, a variety of its extentions (and generalizations) have been investigated and presented. The purpose and design of the paper is intended to study and come up with a new extention of the genralized Wright function by
Nabiullah Khan, Talha Usma, Mohd Aman
openalex   +3 more sources

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

Honam Mathematical Journal, 2011
Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas ...
Dong-Myung Lee, Arjun K. Rathie, Rakesh K. Parmar, Yong-Sup Kim   +3 more
openalex   +4 more sources