Results 11 to 20 of about 88,745 (291)
On values of the psi function [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marcin Adam +4 more
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On functional inequalities for the psi function [PDF]
Issues of Analysis, 2012 In this note we study the monotonicity of the function $x\mapsto (1 +bx)^a/ (1 + ax)^b$. We also give the several inequalities involving the psi function, whic is the logarithmic derivative of the gamma function.
Barkat Ali Bhayo
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A Dedekind Psi Function Inequality [PDF]
, 2011 This note shows that the Dedekind psi function achieves its extreme values on the subset of primorial integers N_k = 2*3*5*...*p_k, where p_k is the kth prime. In particular, the inequality psi(N_k) > cloglog N_k, where c = 1.08... is a universal constant, holds for all large primorial integers N_k = 2*3*5*...*p_k unconditionally.
N. A. Carella
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Some completely monotonic functions related to the psi function [PDF]
Mathematical Inequalities & Applications, 2011 Complete monotonicity properties of some functions involving the psi function are studied and some known results are extended and generalized. Moreover, a necessary and sufficient conditions for some functions to be completely monotonic are presented and proved.
Tomislav Burić, Neven Elezović
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Chebyshev approximations for the psi function [PDF]
Mathematics of Computation, 1973 Rational Chebyshev approximations to the psi (digamma) function are presented for .5 ≦ x ≦ 3.0 .5 \leqq x \leqq 3.0 , and 3.0 ≦ x 3.0 \leqq x . Maximum relative errors range down to the order of 10 − 20
William J. Cody +2 more
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On Psi-function for finite-gap potentials [PDF]
, 2000 A way to derive an explicit formulae in terms of the potentials, if they are finite-gap, for the solutions of spectral problems and corresponding algebraic curves is presented.
N. V. Ustinov, Yu. V. Brezhnev
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Extreme values of the Dedekind $\\Psi$ function [PDF]
, 2010 Comment: 5 pages, to appear in Journal of Combinatorics and Number ...
Patrick Solé, Michel Planat
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Anomalous experiences, psi and functional neuroimaging [PDF]
Frontiers in Human Neuroscience, 2013 Over the past decade, there has been increasing scientific interest in anomalous experiences. These can be defined as “uncommon experience[s] […] that, although [they] may be experienced by a significant number of persons […], [are] believed to deviate from ordinary experience or from the usually accepted explanation of reality according to Western ...
Acunzo, David +2 more
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A sharp double inequality involving generalized complete elliptic integral of the first kind
AIMS Mathematics, 2020 In the article, we establish a sharp double inequality involving the ratio of generalized complete elliptic integrals of the first kind, which is the improvement and generalization of some previously known results.
Tie-Hong Zhao +2 more
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Completely monotonic degree of a function involving trigamma and tetragamma functions
AIMS Mathematics, 2020 Let $\psi(x)$ be the digamma function. In the paper, the author reviews backgrounds and motivations to compute complete monotonic degree of the function $\Psi(x)=[\psi'(x)]^2+\psi''(x)$ with respect to $x\in(0,\infty)$, confirms that completely monotonic
Feng Qi
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