Geodesic
The zero distribution and uniqueness of difference-differential polynomials
Kai Liu1 ; Xin-Ling Liu1 ; Lian-Zhong Yang2
1Department of Mathematics Nanchang University Nanchang, Jiangxi 330031, P.R. China
2Shandong University School of Mathematics Jinan, Shandong 250100, P.R. China
Annales Polonici Mathematici, Tome 109 (2013) no. 2, pp. 137-152
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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].
DOI : 10.4064/ap109-2-3
Keywords: consider zero distribution difference differential polynomials meromorphic functions present results which seen discrete analogues hayman conjecture addition investigate uniqueness difference differential polynomials entire functions sharing common value theorems improve results luo lin math anal appl liu liu cao appl math chinese univ

Kai Liu  1   ; Xin-Ling Liu  1   ; Lian-Zhong Yang  2

1 Department of Mathematics Nanchang University Nanchang, Jiangxi 330031, P.R. China
2 Shandong University School of Mathematics Jinan, Shandong 250100, P.R. China 
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Kai Liu; Xin-Ling Liu; Lian-Zhong Yang. The zero distribution and uniqueness of difference-differential polynomials. Annales Polonici Mathematici, Tome 109 (2013) no. 2, pp. 137-152. doi: 10.4064/ap109-2-3

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