In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function, and it is the first of the polygamma functions. On the positive real numbers it is strictly increasing and strictly concave, and it has well established asymptotic behavior for complex arguments of large magnitude. The digamma function appears throughout analysis wherever the gamma function's rate of growth needs to be studied directly. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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1. Digamma Function (Wikipedia)
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In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function: ψ ( z ) = d d z ln Γ ( z ) = Γ ′ ( z ) Γ ( z ) . {\displaystyle \psi (z)={\frac {d}{dz}}\ln \Gamma (z)={\frac {\Gamma '(z)}{\Gamma (z)}}.} It is the first of the polygamma functions.
Wolfram MathWorld: Digamma Function
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Calculus and Analysis Special Functions
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