Results 151 to 160 of about 649 (183)
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A Fast Algorithm for Computing the Digamma Function
Automation and Remote Control, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inequalities involving gamma and digamma functions
Studia Scientiarum Mathematicarum Hungarica, 2014We prove: (A) Let \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6 ...
Horst Alzer, Chao-Ping Chen
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Some results on the digamma function
Applied Mathematics & Information Sciences, 2013The digamma function is defined for x > 0 as a locally summable function on the real line by ˆ(x) = i∞ + Z 1 0 e it i e ixt 1 i e it dt: In this paper we use the neutrix calculus to extend the definition for digamma function for the negative integers. Also we consider the derivatives of the digamma function for negative integers.
Biljana Tuneska, Ilija Jolevski
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Logarithmically completely monotonic functions concerning gamma and digamma functions
Integral Transforms and Special Functions, 2007For given real numbers a≥0, b∈ℝ and c∈ℝ, let F a, b, c (x)=[Γ(x+1)]1/x (1+a/x) x+b /x c and φ a, b, c (x)=ψ″(x)+[2+(b+c)x−2x 2]/x 3+[3a(2a−b)+(6a−b)x+2x 2]/(x+a)3 with x∈(0, ∞), where Γ(x) and ψ(x) are the well-known Euler gamma function and the psi or digamma function, respectively.
Qi, F, Chen, SX, Cheung, WS
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Summations for certain series containing the digamma function
Journal of Physics A: Mathematical and General, 2006Apparently new summations in terms of well-known special functions are deduced for hypergeometric-type series containing a digamma function as a factor. As a by-product of this investigation new reduction formulae for the Kampe de Feriet function F0:2;12:1;0[x, x] are obtained.
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An addition type formula for the elliptic digamma function
Journal of Mathematical Analysis and Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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