The zero distribution and uniqueness of difference-differential polynomials

• Autorzy: Kai Liu , Xin-Ling Liu , Lian-Zhong Yang
• Języki publikacji: EN

Abstrakty

EN

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].

Kategorie tematyczne

• 39A05: General theory
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 109
• Numer: 2
• Strony: 137-152

Daty

wydano

2013

Twórcy

autor

Kai Liu

• Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, P.R. China

autor

Xin-Ling Liu

• Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, P.R. China

autor

Lian-Zhong Yang

• Shandong University, School of Mathematics, Jinan, Shandong, 250100, P.R. China

Identyfikatory

DOI

10.4064/ap109-2-3