On meromorphic functions with maximal defect sum
Volume 100 / 2011
Annales Polonici Mathematici 100 (2011), 115-125
MSC: Primary 32H30; Secondary 32H04, 32H25, 14J70.
DOI: 10.4064/ap100-2-2
Abstract
The purpose of this article is twofold. The first is to give necessary conditions for the maximality of the defect sum. The second is to show that the class of meromorphic functions with maximal defect sum is very thin in the sense that deformations of meromorphic functions with maximal defect sum by small meromorphic functions are not meromorphic functions with maximal defect sum.
