Results 181 to 190 of about 813 (192)

Inequalities involving gamma and digamma functions

Studia Scientiarum Mathematicarum Hungarica, 2014
We 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, 2013
The 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, 2007
For 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, 2006
Apparently 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, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Digamma Function ψ(v)

2008
Keith B. Oldham, Jan C. Myland, Jerome Spanier   +2 more
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The digamma function

2014
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Digamma and trigamma functions [PDF]

Stata Technical Bulletin, 1999
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Algorithm AS 103: Psi (Digamma) Function

Applied Statistics, 1976
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Digamma (Psi) and Polygamma Functions

2011
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