Nicks, Daniel A.
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Denote by B the class of transcendental meromorphic functions for which the set of finite critical and asymptotic values is bounded, and by S that class of functions for which this set is finite. We give some conditions on transcendental deficient functions of members of the class B, including an improvement of a result of Langley and Zheng. This leads to corresponding results for the class S. It is also proved that no derivative of a finite lower order periodic function has non-zero finite deficient values. We show by example that the finite lower order condition is necessary here.
|Item Type:||Journal Article|
|Copyright Holders:||2009 by Academia Scientiarum Fennica|
|Keywords:||Meromorphic function; Nevanlinna deficiency; singularities; inverse function|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Daniel Nicks|
|Date Deposited:||05 Aug 2010 12:04|
|Last Modified:||06 Aug 2016 04:51|
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