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].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-2-3,
author = {Kai Liu and Xin-Ling Liu and Lian-Zhong Yang},
title = {The zero distribution and uniqueness of difference-differential polynomials},
journal = {Annales Polonici Mathematici},
volume = {107},
year = {2013},
pages = {137-152},
zbl = {1317.30042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-2-3}
}
Kai Liu; Xin-Ling Liu; Lian-Zhong Yang. The zero distribution and uniqueness of difference-differential polynomials. Annales Polonici Mathematici, Tome 107 (2013) pp. 137-152. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-2-3/