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 $f$ 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.
