Let $Γ(z,v)=∫_{v}^{+∞}t^{z-1}e^{-t}dt$ be the incomplete $Γ$-function. My question is: Calculate the derivative of $Γ(z,v)$ with respect to $z$.
2026-03-28 04:28:17.1774672097
Calculate the derivative of $Γ(z,v)$ with respect to $z$
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My assumption would be
$\frac{d}{dz}\Gamma(z,t)=\int_v^\infty\ln(t)t^{z-1}e^{-t}\,dt$