Results 41 to 50 of about 355,849 (306)
A completely monotonic function involving the tri- and tetra-gamma functions
, 2010 The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
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Complete monotonicity involving some ratios of gamma functions
Journal of Inequalities and Applications, 2017 In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic.
Zhen-Hang Yang, Shen-Zhou Zheng
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, 2015 The ALICE Collaboration has studied the inclusive $\psi(\mathrm{2S})$ meson production in pp, p-Pb and Pb-Pb collisions at the CERN LHC. The $\psi(\mathrm{2S})$ is detected through its decay to a muon pair, using the forward Muon Spectrometer, which ...
Leoncino, Marco
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On rational bounds for the gamma function
Journal of Inequalities and Applications, 2017 In the article, we prove that the double inequality x 2 + p 0 x + p 0 < Γ ( x + 1 ) < x 2 + 9 / 5 x + 9 / 5 $$ \frac{x^{2}+p_{0}}{x+p_{0}}< \Gamma(x+1)< \frac{x^{2}+9/5}{x+9/5} $$ holds for all x ∈ ( 0 , 1 ) $x\in(0, 1)$ , we present the best possible ...
Zhen-Hang Yang +3 more
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AIMS Mathematics, 2022 We consider a fractional differential inequality involving $ \psi $-Caputo fractional derivatives of different orders, with a polynomial nonlinearity and a singular potential term.
Ibtisam Aldawish +2 more
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On the Distribution of Plasmoids In High-Lundquist-Number Magnetic Reconnection
, 2012 The distribution function $f(\psi)$ of magnetic flux $\psi$ in plasmoids formed in high-Lundquist-number current sheets is studied by means of an analytic phenomenological model and direct numerical simulations.
Bhattacharjee, A., Huang, Yi-Min
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Padé approximant related to the Wallis formula
Journal of Inequalities and Applications, 2017 Based on the Padé approximation method, in this paper we determine the coefficients a j $a_{j}$ and b j $b_{j}$ such that π = ( ( 2 n ) ! ! ( 2 n − 1 ) ! ! ) 2 { n k + a 1 n k − 1 + ⋯ + a k n k + 1 + b 1 n k + ⋯ + b k + 1 + O ( 1 n 2 k + 3 ) } , n → ∞ , $
Long Lin, Wen-Cheng Ma, Chao-Ping Chen
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Bootstrapping 3D Fermions [PDF]
, 2016 We study the conformal bootstrap for a 4-point function of fermions $\langle\psi\psi\psi\psi\rangle$ in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in fermion 4-point functions.
Iliesiu, Luca +5 more
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ON THE INEQUALITIES FOR THE VOLUME OF THE UNIT BALL Ω_n IN R^n
Проблемы анализа, 2015 The inequalities about the volume of the unit ball Ω_n in R^n were studies by several authors, especially Horst Alzer has a great contribution to this topic. Thereafter many authors produced numerous papers on this topic.
Barkat Ali Bhayo
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The ${\bar c} c$ purity of $\psi(3770)$ and $\psi'$ challenged
, 2005 It is suggested that the resonance $\psi(3770)$ may contain a sizeable ($O(10%)$ in terms of the probability weight factor) four-quark component with the up- and down- quarks and antiquarks in addition to the $c {\bar c}$ pair, which component in itself ...
B. L. Ioffe +7 more
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