Entire functions that share values or small functions with their derivatives
Volume 104 / 2012
Annales Polonici Mathematici 104 (2012), 1-11
MSC: Primary 30D35.
DOI: 10.4064/ap104-1-1
Abstract
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 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.
