Results 11 to 20 of about 92,596 (301)
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. +2 more
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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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On the Stability of the Generalized Psi Functional Equation [PDF]
Axioms, 2020 In this paper, we investigate the generalized Hyers–Ulam stability for the generalized psi functional equation f ( x + p ) = f ( x ) + φ ( x ) by the direct method in the sense of P. Gǎvruta and the Hyers–Ulam–Rassias stability.
Gwang Hui Kim, Themistocles M. Rassias
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Common properties and approximations of local function and set operator $\psi$
Cumhuriyet Science Journal, 2020 Through this paper, we shall obtain common properties of local functionand set operator $\psi$ and introduce the approximations of local function and set operator $\psi$.We also determined expansion of local function and set operator $\psi$ .
Shyamapada Modak +2 more
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Monotonicity of some functions involving the gamma and psi functions [PDF]
Mathematics of Computation, 2008 Let L ( x ) := x
Koumandos, S., Koumandos, S.
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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
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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
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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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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
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On some inequalities for the gamma and psi functions [PDF]
Mathematics of Computation, 1997 Summary: We present new inequalities for the gamma and psi functions, and we provide new classes of completely monotonic, star-shaped, and super-additive functions which are related to \(\Gamma\) and \(\psi\).
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