The zero distribution and uniqueness of difference-differential polynomials
Volume 109 / 2013
Annales Polonici Mathematici 109 (2013), 137-152
MSC: Primary 30D35; Secondary 39A05.
DOI: 10.4064/ap109-2-3
Abstract
We consider the zero distribution of difference-differential polynomials of meromorphic functions and present some results which can be seen as the discrete analogues of the Hayman conjecture. In addition, we also investigate the uniqueness of difference-differential polynomials of entire functions sharing one common value. Our theorems improve some results of Luo and Lin [J. Math. Anal. Appl. 377 (2011), 441–449] and Liu, Liu and Cao [Appl. Math. J. Chinese Univ. 27 (2012), 94–104].
