The polygamma function of order $n$ is defined as the $n+1$th derivative of the gamma function, $\Gamma(z)$. $$ \Gamma(z) = \int_{0}^{\infty} t^{z-1}e^{-t} dt $$ The ...
Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...
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