Results 21 to 30 of about 355,849 (306)
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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An inequality for generalized complete elliptic integral
Journal of Inequalities and Applications, 2017 In this paper, we show an elegant inequality involving the ratio of generalized complete elliptic integrals of the first kind and generalize an interesting result of Alzer.
Li Yin +3 more
doaj +1 more source
Compact composition operators on Bergman-Orlicz spaces [PDF]
, 2010 We construct an analytic self-map $\phi$ of the unit disk and an Orlicz function $\Psi$ for which the composition operator of symbol $\phi$ is compact on the Hardy-Orlicz space $H^\Psi$, but not compact on the Bergman-Orlicz space ${\mathfrak B}^\Psi ...
Lefèvre, Pascal +3 more
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The Partial Visibility Representation Extension Problem [PDF]
, 2015 For a graph $G$, a function $\psi$ is called a \emph{bar visibility representation} of $G$ when for each vertex $v \in V(G)$, $\psi(v)$ is a horizontal line segment (\emph{bar}) and $uv \in E(G)$ iff there is an unobstructed, vertical, $\varepsilon$-wide
A Garg +13 more
core +3 more sources
A class of completely monotonic functions involving the polygamma functions
Journal of Inequalities and Applications, 2022 Let Γ ( x ) $\Gamma (x)$ denote the classical Euler gamma function. We set ψ n ( x ) = ( − 1 ) n − 1 ψ ( n ) ( x ) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$ ( n ∈ N $n\in \mathbb{N}$ ), where ψ ( n ) ( x ) $\psi ^{(n)}(x)$ denotes the nth derivative of the
Li-Chun Liang, Li-Fei Zheng, Aying Wan
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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 ...
Horst Alzer, O. G. Ruehr
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Efficient prime counting and the Chebyshev primes [PDF]
, 2011 The function $\epsilon(x)=\mbox{li}(x)-\pi(x)$ is known to be positive up to the (very large) Skewes' number. Besides, according to Robin's work, the functions $\epsilon_{\theta}(x)=\mbox{li}[\theta(x)]-\pi(x)$ and $\epsilon_{\psi}(x)=\mbox{li}[\psi(x)]-\
Planat, Michel, Solé, Patrick
core +5 more sources
Improvements of the bounds for Ramanujan constant function
Journal of Inequalities and Applications, 2016 In the article, we establish several inequalities for the Ramanujan constant function R ( x ) = − 2 γ − ψ ( x ) − ψ ( 1 − x ) $R(x)=-2\gamma-\psi(x)-\psi(1-x)$ on the interval ( 0 , 1 / 2 ] $(0, 1/2]$ , where ψ ( x ) $\psi(x)$ is the classical psi ...
Hong-Hu Chu +3 more
doaj +1 more source
Instability of standing waves for a quasi-linear Schrödinger equation in the critical case
AIMS Mathematics, 2022 We consider the following quasi-linear Schrödinger equation. $ \begin{align} i\frac{\partial\psi}{\partial t}+\triangle\psi+\psi\triangle|\psi|^2+|\psi|^{p-1}\psi = 0,x\in \mathbb{R}^D, D\geq1, \;\;\;\;\;\;\;\;\;(Q)\end{align} $ where $ \psi ...
Xiaoguang Li, Chaohe Zhang
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Monotonicity and inequalities involving the incomplete gamma function
Journal of Inequalities and Applications, 2016 In the article, we deal with the monotonicity of the function x → [ ( x p + a ) 1 / p − x ] / I p ( x ) $x\rightarrow[ (x^{p}+a )^{1/p}-x]/I_{p}(x)$ on the interval ( 0 , ∞ ) $(0, \infty)$ for p > 1 $p>1$ and a > 0 $a>0$ , and present the necessary and ...
Zhen-Hang Yang, Wen Zhang, Yu-Ming Chu
doaj +1 more source