Results 1 to 10 of about 92,596 (301)

Digamma (Psi) and Polygamma Functions

2011
openaire   +1 more source

\(\Psi\) density topology for discontinuous regulator functions

2000
AVERSA, VINCENZO LIBERO, W. WILCZYNSKI
openaire   +2 more sources

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, Bożena Piątek, Mariusz Pleszczyński, Barbara Smoleń, Roman Wituła   +4 more
doaj   +3 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.
Tomislav Burić, Neven Elezović
openalex   +3 more sources

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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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

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   +3 more sources

Some properties of the gamma and psi functions, with applications [PDF]

Mathematics of Computation, 2004
In this paper, some monotoneity and concavity properties of the gamma, beta and psi functions are obtained, from which several asymptotically sharp inequalities follow. Applying these properties, the authors improve some well-known results for the volume
S.-L. Qiu, Матти Вуоринен
openalex   +3 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

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