Results 11 to 20 of about 251,489 (270)

Euler Type Integrals and Integrals in Terms of Extended Beta Function [PDF]

open access: yesJournal of Mathematics, 2014
We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and ...
Subuhi Khan, Mustafa Walid Al-Saad
doaj   +3 more sources

FURTHER EXTENDED GAMMA AND BETA FUNCTIONS IN TERMS OF GENERALIZED WRIGHT FUNCTION

open access: yesمجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The main objective of this paper is to introduce a new extension of extended Gamma and Beta functions in terms of generalized Wright function. Various properties of these extended functions are investigated such as integral representations, summation ...
Maisoon Ahmed Hussein Kulib   +2 more
doaj   +3 more sources

Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators

open access: yesAxioms, 2019
Approximation and some other basic properties of various linear and nonlinear operators are potentially useful in many different areas of researches in the mathematical, physical, and engineering sciences.
Hari Mohan Srivastava   +2 more
doaj   +4 more sources

Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

open access: yesAdvances in Mathematical Physics, 2021
In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor   +3 more
doaj   +2 more sources

The extended Exton's quadruple hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ and its properties

open access: yesJournal of Innovative Applied Mathematics and Computational Sciences
In this paper, we introduce the extended Exton's hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ using the extended beta function given by \"{O}zergin et al.
Ahmed Atash, Hussein Bellehaj
doaj   +2 more sources

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

A new Generalization of Extended Beta and Hypergeometric Functions

open access: yes, 2018
A new generalization of extended beta function and its various properties,integral representations and distribution are given in this paper. In addition, we establishthe generalization of extended hypergeometric and con uent hypergeometric functionsusing the newly extended beta function.
Kottakkaran Sooppy Nisar   +2 more
openaire   +3 more sources

A Note on the New Extended Beta and Gauss Hypergeometric Functions

open access: yesApplied Mathematics & Information Sciences, 2018
A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 have been presented and investigated. In this sequel, we aim to give a further extension of the extended beta function, which is used to extend the 2F1 and the confluent hypergeometric function 1F1.
Goswami, Anjali   +3 more
openaire   +4 more sources

A Class of Extended Mittag–Leffler Functions and Their Properties Related to Integral Transforms and Fractional Calculus

open access: yesMathematics, 2015
In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
Rakesh K. Parmar
doaj   +2 more sources

Some Inequalities of Extended Hypergeometric Functions

open access: yesMathematics, 2021
Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain   +3 more
doaj   +2 more sources

Home - About - Disclaimer - Privacy