Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616091 | Journal of Mathematical Analysis and Applications | 2014 | 27 Pages |
Abstract
The concept of logarithmic order in the unit disc forms a bridge between meromorphic functions of unbounded Nevanlinna characteristic and meromorphic functions of (usual) zero order of growth. A collection of fundamental results for meromorphic functions of finite logarithmic order is given. Some of these results are reminiscent from the finite order case. Part I of this paper culminates in solving the inverse problem related to the famous defect relation in the case of finite logarithmic order. Part II deals with the analytic case.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Janne Heittokangas, Zhi-Tao Wen,