Digamma function
Mathematical function / From Wikipedia, the free encyclopedia
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For Barnes' gamma function of two variables, see double gamma function.
In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function:[1][2][3]
It is the first of the polygamma functions. This function is strictly increasing and strictly concave on ,[4] and it asymptotically behaves as[5]
for large arguments () in the sector with some infinitesimally small positive constant .
The digamma function is often denoted as or Ϝ[6] (the uppercase form of the archaic Greek consonant digamma meaning double-gamma).