Results 1 to 10 of about 13,428,920 (391)
Beta function and anomalous dimensions [PDF]
Physical Review D, 2010 We demonstrate that it is possible to determine the coefficients of an all-orders beta-function linear in the anomalous dimensions using as data the 2-loop coefficients together with the first one of the anomalous dimensions which are universal. The beta
C. Pica, Francesco Sannino
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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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Derivatives of the Incomplete Beta Function [PDF]
Journal of Statistical Software, 1998 The incomplete beta function is defined as where Beta(p, q) is the beta function. Dutka (1981) gave a history of the development and numerical evaluation of this function. In this article, an algorithm for computing first and second derivatives of Ix,p,q
James F. Robison-Cox, Robert J. Boik
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Inequalities for the beta function [PDF]
Mathematical Inequalities & Applications, 2015 Let g(x):= (e/x)xΓ(x+1) and F(x,y):= g(x)g(y)/g(x+y). Let Dx,y (k) be the k th differential in Taylor's expansion of logF(x,y) . We prove that when (x,y) ∈ R+ 2 one has (-1)k-1Dx,y (k) (X,Y) > 0 for every X,Y ∈ R+, and that when k is even the conclusion ...
Loïc Grenié, G. Molteni
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The incomplete beta function and its ratio to the complete beta function [PDF]
Mathematics of Computation, 1968 The incomplete beta function, B x ( p , q ) = ∫ 0 x y p − 1 ( 1
David Osborn, R. Madey
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International Journal of Modern Physics A, 2013 We propose various properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance, orthogonality with respect to scalar beta functions, Higgs ...
Y. Nakayama
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On a beta function inequality [PDF]
Journal of Mathematical Inequalities, 2012 In this paper we present a beta function inequality on (0, 1] × (0, 1] , which improves an inequality of H. Alzer. Moreover several new inequalities for the gamma and psi functions on (0, 1] are provided.
P. Ivády
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The Brylinski beta function of a surface [PDF]
Geometriae Dedicata, 2010 An analogue of Brylinski’s knot beta function is defined for a submanifold of $$d$$d-dimensional Euclidean space. This is a meromorphic function on the complex plane. The first few residues are computed for a surface in three dimensional space.
Edgar Fuller, M. K. Vemuri
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Properties of k-beta function with several variables
Open Mathematics, 2015 In this paper, we discuss some properties of beta function of several variables which are the extension of beta function of two variables. We define k-beta function of several variables and derive some properties of this function which are the extension ...
Rehman Abdur +3 more
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RESULTS ON THE BETA FUNCTION AND THE INCOMPLETE BETA FUNCTION [PDF]
International Journal of Apllied Mathematics, 2013 F. Al-Sirehy, B. Fisher
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