Results 1 to 10 of about 12,250,575 (319)

On values of the psi function [PDF]

Journal of Applied Mathematics and Computational Mechanics, 2017
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Marcin Adam, Bożena Piątek, Mariusz Pleszczyński, Barbara Smoleń, Roman Wituła   +4 more
doaj   +5 more sources

The monotonicity and convexity of a function involving psi function with applications [PDF]

Journal of Inequalities and Applications, 2016
In this paper, we prove that the function x ↦ exp ( ψ ( x + 1 2 ) − 1 24 1 x 2 + 7 / 40 ) − x $$ x\mapsto\exp \biggl( \psi \biggl( x+\frac{1}{2} \biggr) -\frac {1}{24} \frac{1}{x^{2}+7/40} \biggr) -x $$ is decreasing from ( − 1 / 2 , ∞ ) $( -1/2,\infty )
Bang-Cheng Sun, Zhi-Ming Liu, Qiang Li, Shen-Zhou Zheng   +3 more
doaj   +7 more sources

Chebyshev Approximations for the Psi Function [PDF]

Mathematics of Computation, 1973
Rational Chebyshev approximations to the psi (digamma) function are presented for .5 ≦
Cody, W. J., Strecok, Anthony J., Thacher, Henry C. jun.   +2 more
semanticscholar   +4 more sources

ON FUNCTIONAL INEQUALITIES FOR THE PSI FUNCTION

Проблемы анализа
Motivated by the works of Bougotta and Mercer, the authors in this paper study the monotonicity of the function x↦ψ(1+bx)^a/ψ(1+ax)^b, and establish several inequalities involving the psi function.
Barkat A. Bhayo, Liyao Xie, Sebnem Yildiz Yar   +2 more
doaj   +3 more sources

Determinantal inequalities for the psi function [PDF]

Mathematical Inequalities & Applications, 1999
Results are offered about nonnegativity resp. negativity of second order determinants containing derivatives of the psi function (the logarithmetic derivative of the gamma function) and of shifted psi functions.
B. Palumbo
openaire   +2 more sources

A Comparison of Radiographic Alignment Using Patient-Specific and Standard Instrumentation in Total Ankle Arthroplasty [PDF]

Foot & Ankle Orthopaedics
Background: The rate of total ankle arthroplasty (TAA) is projected to continue increasing. Implant malalignment is a significant predictor of complications; however intraoperative evaluation of alignment can be challenging.
Nicholas Veale MS, BS, Kristian Efremov MD, Colin Wood BS, Matthew Beckles BS, Riley Smith BA, Gloria Coden MD, Mark Slovenkai MD, Kurt Hofmann MD   +7 more
doaj   +2 more sources

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.
Elezović, Neven, Burić, Tomislav
openaire   +3 more sources

EEG based multifunctional connectivity fusion across frequency bands and parameters promote motor function assessment in stroke: a pilot study [PDF]

Journal of NeuroEngineering and Rehabilitation
Background Individual phase indexes in functional connectivity as biomarkers for assessing motor function in stroke patients can be affected by noise and volume conduction, resulting in unreliable and poorly correlated assessments.
Zhongpeng Wang, Jinxiang Nan, Yijie Zhou, Jia Liu, Shuang Liu, Minpeng Xu, Feng He, Long Chen, Dong Ming   +8 more
doaj   +2 more sources

COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE DIVIDED DIFFERENCE OF PSI FUNCTIONS [PDF]

Bulletin of the Australian Mathematical Society, 2013
AbstractNecessary and sufficient conditions are presented for a function involving the divided difference of the psi function to be completely monotonic and for a function involving the ratio of two gamma functions to be logarithmically completely monotonic.
Qi, Feng, Cerone, Pietro, Dragomir, Sever S.   +2 more
openaire   +3 more sources

A submultiplicative property of the psi function

Journal of Computational and Applied Mathematics, 1999
The main result offered by the authors is that \(\Gamma'(xy+t)\Gamma(x+t)\Gamma(y+t) \leq \Gamma(xy+t)\Gamma'(x+t)\Gamma'(y+t)\) for all nonnegative \(x\) and \(y\) iff \(t\geq a\) where \(\Gamma\) is Euler's gamma function and \(a\) is the only positive number with \(\Gamma'(a)=\Gamma(a).\) They offer also a similar result with subadditivity in place ...
Alzer, Horst, Ruehr, O.G.
openaire   +2 more sources