Results 1 to 10 of about 13,390,720 (373)
Beta function and anomalous dimensions [PDF]
Physical Review D, 2011 Version to match the published one in Phys. Rev. D. We added several tables demonstrating how well the prediction for the anomalous dimensions at the fixed point obtained via the all-orders beta function compares with the one obtained in perturbation theory.
Pica, Claudio, Sannino, Francesco
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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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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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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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Beta functions in the quantum field theory [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: The running of the coupling constant in various Quantum Field Theories and a possible behaviour of the beta function are illustrated.
Nicola Fabiano
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Recurrent identities for two special functions of hypergeometric type
Вестник Самарского университета: Естественнонаучная серия, 2023 The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
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Beta redundancy for functional ecology [PDF]
Methods in Ecology and Evolution, 2021 Abstract Functional beta redundancy has been recently defined as the fraction of species dissimilarity between two plots not expressed by functional dissimilarity. As such, it summarizes to what degree the compositional differences between two plots mirror their functional differences.
Ricotta, Carlo +3 more
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Applied Sciences, 2022 Dynamic Multi-Objective Optimization Problems (DMOPs) and Many-Objective Optimization Problems (MaOPs) are two classes of the optimization field that have potential applications in engineering.
Ahlem Aboud +5 more
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Estimation of generalized fractional integral operators with nonsingular function as a kernel
AIMS Mathematics, 2021 Bessel function has a significant role in fractional calculus having immense applications in physical and theoretical approach. Present work aims to introduce fractional integral operators in which generalized multi-index Bessel function as a kernel, and
Iqra Nayab +6 more
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