Abstract
Abstract
This paper presents a new principle related to an arbitrary meromorphic function w in a given domain D.
The main component of this principle gives (first time) lower bounds for
{|w^{\prime}|}
for a similar general class of functions.
The principle can qualitatively be stated as follows:
any set of simple a-points of w contains a “large” subset of complex values, where we have lower bounds for
{|w^{\prime}|}
and upper bounds for
{|w^{(h)}|}
,
{h>1}
.
Reference14 articles.
1. On a topological description of solutions of complex differential equations;Complex Var. Theory Appl.,2005
2. Zur Theorie der Überlagerungsflächen;Acta Math.,1935
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