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arXiv · 1911.01076

Interpolating the Derivatives of the Gamma Function

Vassilis G. Papanicolaou
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Abstract

We consider a function $G(\lambda, z)$, entire in $\lambda$, which interpolates the derivatives of the Gamma function in the sense that $G(m, z) = \Gamma^{(m)}(z)$ for any integer $m \geq 0$ and we calculate the asymptotics of $G(\lambda, z)$ as $\lambda \to +\infty$.

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Vassilis G. Papanicolaou. 2019-11-04. Interpolating the Derivatives of the Gamma Function. https://arxiv.org/abs/1911.01076

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