The zero distribution and uniqueness of difference-differential polynomials

Kai Liu, Xin-Ling Liu, and Lian-Zhong Yang. "The zero distribution and uniqueness of difference-differential polynomials." Annales Polonici Mathematici 109.2 (2013): 137-152. <http://eudml.org/doc/280376>.

@article{KaiLiu2013,
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].},
author = {Kai Liu, Xin-Ling Liu, Lian-Zhong Yang},
journal = {Annales Polonici Mathematici},
keywords = {difference-differential polynomial; value distribution; uniqueness},
language = {eng},
number = {2},
pages = {137-152},
title = {The zero distribution and uniqueness of difference-differential polynomials},
url = {http://eudml.org/doc/280376},
volume = {109},
year = {2013},
}

TY - JOUR
AU - Kai Liu
AU - Xin-Ling Liu
AU - Lian-Zhong Yang
TI - The zero distribution and uniqueness of difference-differential polynomials
JO - Annales Polonici Mathematici
PY - 2013
VL - 109
IS - 2
SP - 137
EP - 152
AB - 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].
LA - eng
KW - difference-differential polynomial; value distribution; uniqueness
UR - http://eudml.org/doc/280376
ER -