Source: wikibot/polygamma-function
= Polygamma function
{wiki=Polygamma_function}
The polygamma function is a special function that is defined as the \\( n \\)th derivative of the logarithm of the gamma function, denoted as \\( \\psi^\{(n)\}(x) \\). Specifically, it is defined as: \\\[ \\psi^\{(n)\}(x) = \\frac\{d^n\}\{dx^n\} \\ln(\\Gamma(x)) \\\] where \\( \\Gamma(x) \\) is the gamma function.