Results 51 to 60 of about 12,298,354 (363)
A short note on a extended finite secant series
AIMS Mathematics, 2023 In this paper, a summation formula for a general family of a finite secant sum has been extended by making use of a particularly convenient integration contour method.
Robert Reynolds
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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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Completely monotonic functions involving the gamma and $q$-gamma functions [PDF]
Proceedings of the American Mathematical Society, 2005 We give an infinite family of functions involving the gamma function whose logarithmic derivatives are completely monotonic. Each such function gives rise to an infinitely divisible probability distribution. Other similar results are also obtained for specific combinations of the gamma and q-gamma functions.
Grinshpan, Arcadii Z. +1 more
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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Fixed-Time Stabilization of a Class of Stochastic Nonlinear Systems
Actuators, 2023 This paper investigates an improved fixed-time stability theory together with a state feedback controller for a class of nonlinear stochastic systems.
Zhenzhen Long +3 more
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Intrinsic Ultracontractivity of Feynman-Kac Semigroups for Symmetric Jump Processes [PDF]
, 2015 Consider the symmetric non-local Dirichlet form $(D,\D(D))$ given by $$ D(f,f)=\int_{\R^d}\int_{\R^d}\big(f(x)-f(y)\big)^2 J(x,y)\,dx\,dy $$with $\D(D)$ the closure of the set of $C^1$ functions on $\R^d$ with compact support under the norm $\sqrt{D_1(f ...
Chen, Xin, Wang, Jian
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Optimal bounds for the generalized Euler–Mascheroni constant
Journal of Inequalities and Applications, 2018 We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.
Ti-Ren Huang +3 more
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Extraction of thermal and electromagnetic properties in 45Ti
, 2009 The level density and gamma-ray strength function of 45Ti have been determined by use of the Oslo method. The particle-gamma coincidences from the 46Ti(p,d gamma)45Ti pick-up reaction with 32 MeV protons are utilized to obtain gamma-ray spectra as ...
A. Bohr +19 more
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The hyperadelic gamma function
Inventiones Mathematicae, 1989 The author gives a profinite analogue of the theory of \textit{Y. Ihara} [Ann. Math. (2) 123, 43--106 (1986; Zbl 0595.12003)] concerning the structure of the inverse limit of the \(\ell\)-Tate modules of the Fermat curves of degree \(\ell^ n\). Ihara's methods are not generalized; rather, the author relies on the results of his earlier paper [Duke Math.
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A gerbe for the elliptic gamma function [PDF]
Duke Mathematical Journal, 2008 54 ...
Felder, Giovanni +3 more
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