Results 251 to 260 of about 251,489 (270)

Some results on the extended beta and extended hypergeometric functions

Applied Mathematics and Computation, 2014
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Min-Jie Luo, Gradimir V Milovanović, Praveen Agarwal   +2 more
exaly   +2 more sources

Extension of Euler's beta function

Journal of Computational and Applied Mathematics, 1997
An extension of Euler's beta function, analogous to the recent generalization of Euler's gamma function and Riemann's zeta function, for which the usual properties and representation are naturally and simply extended, is introduced. It is proved that the
M Aslam Chaudhry, Asghar Qadir, M Mujahid Rafique   +2 more
exaly   +2 more sources

An extension of the incomplete beta function for negative integers

Journal of Mathematical Analysis and Applications, 2008
The incomplete beta function B-x(a, b) is defined for a, b > 0 and 0 < x < 1. Its definition can be extended, by regularization, to negative non-integer values of a and b.
Emin Ozcag, Haşmet Gurcay
exaly   +2 more sources

NEW GENERALIZATIONS OF EXTENDED BETA AND HYPERGEOMETRIC FUNCTIONS

Far East Journal of Theoretical Statistics, 2018
Summary: Motivated by the generalizations of extended beta and hypergeometric functions, we introduce, in this paper, further generalizations of these functions. Some integral representations, properties, Mellin transformations, recurrence relations, and new statistical probability distributions are obtained for these new generalizations.
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A Comparative Analysis of Modified Extended Fractional Derivative and Integral Operators via Modified Extended Beta Function with Applications to Generating Functions

2021
This article object is to introduce new extension of the extended beta, Gauss hypergeometric, Appell hypergeometric and Lauricella hypergeometric functions. The new extension of the extended Riemann-Liouville, Caputo and Kober-Erdelyi fractional derivative and integral operators are also examined with their applications to generating functions by ...
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Certain properties of extended complete and incomplete beta functions

AIP Conference Proceedings, 2016
Motivated by certain recent extensions of the Euler’s beta, Gauss’s hypergeometric and confluent hypergeometric functions [7], we establish certain relations between the integral of the incomplete extended beta function and the complete extended beta function.
openaire   +1 more source

AN EXTENDED BETA FUNCTION AND ITS APPLICATIONS

Far East Journal of Mathematical Sciences (FJMS), 2018
Mohd Shadab, Saima Jabee, Junesang Choi
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AN EXTENDED BETA FUNCTION AND ITS PROPERTIES

Far East Journal of Mathematical Sciences (FJMS), 2017
Shahid Mubeen, Gauhar Rahman, Kottakkaran Sooppy Nisar, Junesang Choi, Muhammad Arshad   +4 more
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Extended Beta Function

2001
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A NEW EXTENDED BETA FUNCTION INVOLVING GENERALIZED MITTAG-LEFFLER FUNCTION AND IT’S APPLICATIONS

Stardom Scientific Journals of Natural and Engineering Sciences
The main object of this paper is to introduce a new extension of the beta function involving the generalized Mittag-leffler function and study its important properties, like integral representation, summation formula, derivative formula, beta distribution and transform formula.
openaire   +1 more source