Results 11 to 20 of about 355,849 (306)
A Dedekind Psi Function Inequality
, 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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Approximations for the psi (digamma) function [PDF]
Mathematics of Computation, 1967 William T. Moody
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On Psi-function for finite-gap potentials
, 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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Some properties of the psi and polygamma functions
, 2009 In this paper, some monotonicity and concavity results of several functions involving the psi and polygamma functions are proved, and then some known inequalities are extended and generalized.
Bai‐Ni Guo, Feng Qi
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Feasibility and Accuracy of a Dual-Function AR-Guided System for PSI Positioning and Osteotomy Execution in Pelvic Tumour Surgery: A Cadaveric Study [PDF]
Bioengineering (Basel)Fernández-Fernández T +9 more
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A sharp double inequality involving generalized complete elliptic integral of the first kind
AIMS Mathematics, 2020 In the article, we establish a sharp double inequality involving the ratio of generalized complete elliptic integrals of the first kind, which is the improvement and generalization of some previously known results.
Tie-Hong Zhao +2 more
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Completely monotonic degree of a function involving trigamma and tetragamma functions
AIMS Mathematics, 2020 Let $\psi(x)$ be the digamma function. In the paper, the author reviews backgrounds and motivations to compute complete monotonic degree of the function $\Psi(x)=[\psi'(x)]^2+\psi''(x)$ with respect to $x\in(0,\infty)$, confirms that completely monotonic
Feng Qi
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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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