Results 41 to 50 of about 17,882 (165)
A new Definition of Fractional Derivative and Fractional Integral [PDF]
Kirkuk Journal of Science, 2018 In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
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An Extension of Beta Function by Using Wiman’s Function
Axioms, 2021 The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman.
Rahul Goyal +3 more
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Contra \(\beta^{*}\)-continuous and almost contra \(\beta^{*}\)-continuous functions
Sahand Communications in Mathematical Analysis, 2017 Summary: The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of \(\beta^{*}\)-closed sets in topological space to present and study a new class of functions called contra \(\beta^{*}\)-continuous and almost contra \(\beta^{*}\)-continuous functions as a new generalization of contra ...
Vadivel, Appachi +2 more
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TASK Quarterly, 2003 In this paper we present the Beta function and its main properties. A key feature of the Beta function, which is given by the central limit theorem, is also shown.
ADEL M. ALIMI
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Vertices of Mather’s beta function, II [PDF]
Ergodic Theory and Dynamical Systems, 2009 AbstractIf theβ-function of a time-periodic Lagrangian on a manifoldMhas a vertex at ak-irrational homology classh, then 2k<dimM, so if dimM=2, thenhis rational.
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BRANE TILINGS: THE NSVZ BETA FUNCTION [PDF]
International Journal of Modern Physics A, 2010 In honor of Misha Shifman's 60th birthday this note will start with one of Misha's many contributions, the famous NSVZ beta function, and study how it affects the construction of Brane Tilings. The main features of Brane Tilings for 3+1 dimensions SCFT's are reviewed and the generalization to 2+1 dimensional SCFT's is discussed.
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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].
S.R. Kabara +5 more
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Integrals of incomplete beta functions, with applications to order statistics, random walks and string enumeration [PDF]
, 2021 Stephen B. Connor +1 more
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Some inequalities involving two generalized beta functions in n variables
Journal of Inequalities and Applications, 2021 The beta and gamma functions have recently seen several developments and various extensions because of their nice properties and interesting applications. The contribution of this paper falls within this framework.
Mustapha Raïssouli, Salma I. El-Soubhy
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Classical special functions of matrix arguments
Sistemnì Doslìdženâ ta Informacìjnì TehnologìïThis article focuses on a few of the most commonly used special functions and their key properties and defines an analytical approach to building their matrix-variate counterparts.
Dmytro Shutiak +3 more
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