Logarithmic derivative estimates of meromorphic functions of finite order in the half-plane

We established new sharp estimates outside exceptional sets for of the logarithmic derivatives $\frac{d^ {k} \log f(z)}{dz^k}$ and its generalization $\frac{f^{(k)}(z)}{f^{(j)}(z)}$, where $f$ is a meromorphic function $f$ in the upper half-plane, $k>j\ge0$ are integers. These estimates improve k...

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Bibliographic Details
Main Authors: I.E. Chyzhykov, A.Z. Mokhon'ko
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2020-12-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/151
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