Results 11 to 20 of about 704 (153)

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   +2 more sources

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   +2 more sources

Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus

open access: yesJournal of Mathematics, 2022
Among a remarkably large number of various extensions of polynomials and numbers, and diverse introductions of new polynomials and numbers, in this paper, we choose to introduce two new generalizations of some extended Bernoulli polynomials and numbers ...
Nabiullah Khan   +3 more
doaj   +2 more sources

Generalized Laplace transform with matrix variables

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
In the present paper we have extended generalized Laplace transforms of Joshi to the space of m×m symmetric matrices using the confluent hypergeometric function of matrix argument defined by Herz as kernel.
R. M. Joshi, J. M. C. Joshi
doaj   +2 more sources

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

open access: yesAxioms
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   +2 more
doaj   +2 more sources

A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

open access: yesOpen Physics, 2022
The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi   +4 more
doaj   +1 more source

ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS

open access: yesMalaysian Journal of Computing, 2021
Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
doaj   +1 more source

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

open access: yesJournal of Science and Technology
هناك العديد من الدراسات حول تعميمات جاما وبيتا والدوال الهندسية الفائقة والمتموجة. في هذا البحث تم تعريف نوع جديد من دالة بيتا المعممة باستخدام حاصل ضرب دالتين رايت.
Barahmah , Dr. Salem Saleh Alqasemi
openaire   +3 more sources

EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

open access: yesHonam Mathematical Journal, 2014
Summary: Recently several authors have extended the gamma function, beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions.
Choi, Junesang   +2 more
openaire   +2 more sources

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

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