The Open UniversitySkip to content

Deficiencies of certain classes of meromorphic functions

Nicks, Daniel A. (2009). Deficiencies of certain classes of meromorphic functions. Annales Academiae Scientiarum Fennicae Mathematica, 34(1) pp. 157–171.

Full text available as:
Full text not publicly available
Due to copyright restrictions, this file is not available for public download
Google Scholar: Look up in Google Scholar


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
ISSN: 1239-629X
Keywords: Meromorphic function; Nevanlinna deficiency; singularities; inverse function
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 22682
Depositing User: Daniel Nicks
Date Deposited: 05 Aug 2010 12:04
Last Modified: 27 Oct 2012 16:12
Share this page:

Actions (login may be required)

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340