Results 11 to 20 of about 1,232,344 (309)

A More Accurate Half-Discrete Multidimensional Hilbert-Type Inequality Involving One Multiple Upper Limit Function

Axioms, 2023
By means of the weight functions, the idea of introduced parameters, using the transfer formula and Hermite–Hadamard’s inequality, a more accurate half-discrete multidimensional Hilbert-type inequality with the homogeneous kernel as 1(x+||k−ξ||α)λ(x,λ>0)
Yong Hong, Yanru Zhong, Bicheng Yang
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Some results on generalized Euler-type integrals related to the four parameters Mittag-Leffler function

Journal of New Results in Science, 2021
Special functions such as hypergeometric, zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and Mittag-Leffler functions are obtained as a solution to complex differential equations in engineering, science and technology.
Umar Muhammad Abubakar
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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
Osborn, D., Madey, R.
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Infinite Series Concerning Tails of Riemann Zeta Values

Axioms, 2023
Infinite series involving Riemann’s zeta and Dirichlet’s lambda tails, and weighted by three harmonic-like elementary symmetric functions are examined.
Chunli Li, Wenchang Chu
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The Numerical Evaluation Methods for Beta Function

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022
In this study, the beta function that is encountered in computational mathematics and physics is analyzed. The correct evaluation of this function also affects the accuracy of other mathematical functions in quantum mechanical calculations. Especially in
Sılay Aytaç Yükçü
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VECTOR BETA FUNCTION [PDF]

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-like relation among anomalous dimensions and a gradient property.
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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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Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function

Journal of New Theory, 2022
The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties ...
Umar Muhammad Abubakar
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Homogeneous Beta-type functions [PDF]

Journal of Classical Analysis, 2017
All beta-type functions, which are p-homogeneous, are determined. Applying this result, we show that a beta-type function is a homogeneous mean iff it is the harmonic one. A reformulation of a result due to Heuvers in terms of a Cauchy difference and the harmonic mean is given.
Himmel, Martin, Matkowski, Janusz
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Evaluation of the real parts of polylogarithm expressions containing complex arguments via certain logarithmic integrals [PDF]

Notes on Number Theory and Discrete Mathematics
We consider a polylogarithm expression containing complex arguments, namely 𝓟±(n)=ℜ(Liₙ((1±i)/2)). The central notion of the present paper is to evaluate the real parts of 𝓟±(n) for first four orders, specifically n = 1,2,3, and 4, by constructing ...
Narendra Bhandari
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