# A new principle for arbitrary meromorphic functions in a given domain

A new principle for arbitrary meromorphic functions in a given domain AbstractThis 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′|{|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′|{|w^{\prime}|}and upper bounds for |w(h)|{|w^{(h)}|}, h>1{h>1}. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

# A new principle for arbitrary meromorphic functions in a given domain

, Volume 25 (2): 6 – Jun 1, 2018
6 pages

/lp/degruyter/a-new-principle-for-arbitrary-meromorphic-functions-in-a-given-domain-UZCWUMCdRy
Publisher
de Gruyter
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1572-9176
eISSN
1572-9176
D.O.I.
10.1515/gmj-2018-0032
Publisher site
See Article on Publisher Site

### Abstract

AbstractThis 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′|{|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′|{|w^{\prime}|}and upper bounds for |w(h)|{|w^{(h)}|}, h>1{h>1}.

### Journal

Georgian Mathematical Journalde Gruyter

Published: Jun 1, 2018

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