Çavkaniya Fonksiyona dîgamayê bibîne

[[Wêne:Complex Polygamma 0.jpg|thumb|250px|Fonksiyona digamayê]]
'''Fonksiyona dîgamayê''' an jî '''vatiniya dîgamayê''', li gor termînolojiya matematîkê wek [[muşteq]]eke logarîtmîk a [[fonksiyona gamayê]] dihê pênasekirin. Ya yekem a ji [[fonksiyona polîgamayê|fonksiyonên polîgamayê]] ye.



<math> \psi(x) = \frac{d}{dx} \ln{\Gamma(x)} = \frac{\Gamma'(x)}{\Gamma(x)} </math>

<math> \psi(n) = H_{n-1} - \gamma </math>,

<math> H_n </math> - <math> n </math>, <math> \gamma </math>

<math> \psi(1-x) - \psi(x) = \pi \cot(\pi x) </math>

<math> \psi(x+1) = \psi(x) + \frac{1}{x} </math>

<math> \psi(x) = \ln(x) - \frac{1}{2x} + \sum_{n=1}^\infty \frac{\zeta(1-2n)}{x^{2n}} </math>

<math> \zeta(x) </math>

<math> \psi(x) = \sum_{n=0}^\infty \frac{1}{n+1} \sum_{k=0}^n (-1)^k\binom{n}{k}\ln(x+k) </math>

<math> \frac{\Gamma'(p/q)}{\Gamma(p/q)} = -\gamma - \ln(2q) - \frac{\pi}{2}\cot\left(\frac{\pi p}{q}\right) + 2 \sum_{0<n<q/2}\cos\left(\frac{2\pi p n}{q}\right)\ln\left(\sin\left(\frac{\pi n}{q}\right)\right)</math>,

<math> p, q </math>, <math> 0 < p < q </math>.

==Çavkanî==
*Wikipedia bi zimanê îngilîzî (2010-03-23).

== Girêdanên Derve ==
*http://functions.wolfram.com/GammaBetaErf/PolyGamma
*http://mathworld.wolfram.com/DigammaFunction.html
*http://www.math.sfu.ca/~cbm/aands/page_260.htm

[[Kategorî:Fonsiyona analîtîk]]