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arXiv · 2410.04839

Lifts of Logarithmic Derivatives

Matthias Grätsch
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Abstract

Consider a sequence of meromorphic functions $(f_n)_n$. This paper presents a technique that enables the transfer of convergence properties from $(f_n^{(m+1)}/f_n^{(m)})_n$ to subsequences of $(f_n^{(m)}/f_n^{(m-1)})_n$. As an application, we will show that the families of functions with bounded Schwarzian derivative are quasi-normal.

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Matthias Grätsch. 2024-10-07. Lifts of Logarithmic Derivatives. https://doi.org/10.7146/math.scand.a-158582

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