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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
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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
openalex   +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
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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

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

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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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

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, Evrard, Renaud, Rabeyron, Thomas   +2 more
openaire   +4 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 ≦ 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
Cody, W. J., Strecok, Anthony J., Thacher, Henry C. jun.   +2 more
openaire   +1 more source