Results 51 to 60 of about 691,054 (290)
An extension of beta function, its statistical distribution, and associated fractional operator
Advances in Difference Equations, 2020 Recently, various forms of extended beta function have been proposed and presented by many researchers. The principal goal of this paper is to present another expansion of beta function using Appell series and Lauricella function and examine various ...
Ankita Chandola +3 more
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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian 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
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Extension of exton's hypergeometric function K16
Cubo, 2021 The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11].
Ahmed Ali Atash, Maisoon Ahmed Kulib
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Extended matrix variate gamma and beta functions
Journal of Multivariate Analysis, 2013 The paper presents preliminaries involving functions of an matrix argument in order to prepare an apparatus for a matrix variate distribution theory. As an illustration the probability density function of the sum in Theorem 6.1 is found. In Theorem 6.2 the expected value involving two independent random matrices is derived.
Nagar, Daya K. +2 more
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A (p, ν)-extension of the Appell function F1(·) and its properties [PDF]
, 2019 In this paper, we obtain a (p, v)-extension of the Appell hypergeometric functionF1(·), together with its integral representation, by using the extended Beta functionBp,v(x, y) introduced in [9].
Dar, S. A., Paris, R. B.
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Vanishing of the four-loop charge renormalization function in N=4 SYM theory
, 2011 We calculate the renormalization constants of the maximally extended N=4 supersymmetric Yang-Mills theories in the dimensional reduction scheme up to four loops. We have found, that the beta-function is zero both from gauge and Yukawa vertices.Comment: 6
Velizhanin, V. N.
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Extended Holomorphic Anomaly in Gauge Theory [PDF]
, 2010 The partition function of an N=2 gauge theory in the Omega-background satisfies, for generic value of the parameter beta=-eps_1/eps_2, the, in general extended, but otherwise beta-independent, holomorphic anomaly equation of special geometry.
A. Iqbal +34 more
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Demonstration of one-parameter scaling at the Dirac point in graphene [PDF]
, 2007 We numerically calculate the conductivity $\sigma$ of an undoped graphene sheet (size $L$) in the limit of vanishingly small lattice constant. We demonstrate one-parameter scaling for random impurity scattering and determine the scaling function $\beta ...
A. H. Castro Neto +5 more
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On a new extension of extended (p,q) Beta function
University of Aden Journal of Natural and Applied SciencesThe main objective of this paper is to introduce a further extension of extended (p, q)-Beta function by considering product of two Mittag-Leffler functions in the kernel. We investigate various properties of this newly defined Beta function such as integral representations, summation formulas and Mellin transform. Further, some known and new relations
Salem Saleh Barahmah
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, 2004 We look for 3-dimensional Poisson-Lie dualizable sigma models that satisfy the vanishing beta-function equations with constant dilaton field. Using the Poisson-Lie T-plurality we then construct 3-dimensional sigma models that correspond to various ...
C. Klimcík +7 more
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