Estimates of $\Gamma$-functions and their $\log{}$-derivatives

Miron Bekker; Boris Mityagin

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arXiv · 2605.30378

Estimates of $\Gamma$-functions and their $\log{}$-derivatives

Miron Bekker·Boris Mityagin

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Abstract

We provide a lower bound for a weighted ratio of $\Gamma-$functions and its $\log{}-$derivative. Then we apply this result to estimate the norm of the operator associated with the Ces\'{a}ro operator in the Hardy space $H^p({\mathbb C}_+)$, $1<p<\infty$

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Miron Bekker, Boris Mityagin. 2026-05-27. Estimates of $\Gamma$-functions and their $\log{}$-derivatives. https://arxiv.org/abs/2605.30378

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