We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-1-1,
author = {Sheng Li and Zongsheng Gao and Jilong Zhang},
title = {Entire functions that share values or small functions with their derivatives},
journal = {Annales Polonici Mathematici},
volume = {105},
year = {2012},
pages = {1-11},
zbl = {1263.30012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-1-1}
}
Sheng Li; Zongsheng Gao; Jilong Zhang. Entire functions that share values or small functions with their derivatives. Annales Polonici Mathematici, Tome 105 (2012) pp. 1-11. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-1-1/