In mathematics, the polygamma function of order m is a meromorphic function on the complex numbers C defined as the th derivative of the logarithm of the gamma function:
In mathematics, the gamma function is the most common extension of the factorial function to complex numbers. First studied by Daniel Bernoulli, the gamma function Γ is defined for all complex numbers
Polygamma function
…the polygamma function of order m is a meromorphic function on the complex numbers C defined as the (m + 1)th derivative of the logarithm of the gamma function: Thus…
Daniel Bernoulli's letter to Christian Goldbach (Oct 6, 1729)