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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap100-2-2,
author = {Pham Duc Thoan and Le Thanh Tung},
title = {On meromorphic functions with maximal defect sum},
journal = {Annales Polonici Mathematici},
volume = {101},
year = {2011},
pages = {115-125},
zbl = {1227.32022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap100-2-2}
}
Pham Duc Thoan; Le Thanh Tung. On meromorphic functions with maximal defect sum. Annales Polonici Mathematici, Tome 101 (2011) pp. 115-125. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap100-2-2/