Results 11 to 20 of about 17,882 (165)
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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On generalized $\mathtt{k}$-fractional derivative operator
AIMS Mathematics, 2020 The principal aim of this paper is to introduce $\mathtt{k}$-fractional derivative operator by using the definition of $\mathtt{k}$-beta function. This paper establishes some results related to the newly defined fractional operator such as the Mellin ...
Gauhar Rahman +2 more
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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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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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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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Some identities on truncated polynomials associated with Lah-Bell polynomials
Applied Mathematics in Science and Engineering, 2023 Recently, Kim-Kim introduced the truncated degenerate Bell polynomials and numbers. In this paper, we introduce the truncated Lah-Bell polynomials and numbers. We obtain some identities, recurrence relations and properties. Furthermore, we also introduce
Lingling Luo +3 more
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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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Somewhat (gamma,beta)-semicontinuous functions
Boletim da Sociedade Paranaense de Matemática, 2012 Summary: In this paper, some new classes of functions are introduced and studied by making use of \(\gamma\)-semiopen sets and \(\gamma\)-semiclosed sets.
N. Rajesh, C. Carpintero, E. Rosas
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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 holds for every X,Y ∈ R with (X,Y) = (0,0).
Grenié, Loic Andre Henri +1 more
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