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Estimates of higher derivatives of meromorphic functions and the multiple points in the second main theorem of R. Nevanlinna
- Publisher
- de Gruyter
- Copyright
- © 2018 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 1572-9176
- eISSN
- 1572-9176
- DOI
- 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 Journal – de Gruyter
Published: Jun 1, 2018