Zeros of Difference Polynomials of Meromorphic Functions

被引：17

作者：

Liu, Kai ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2010年 / 57卷 / 3-4期

关键词：

Exponent of convergence; difference polynomials; finite order; EQUATIONS;

D O I：

10.1007/s00025-010-0034-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This research is a continuation of a recent paper, due to Liu and Laine, dealing with difference polynomials of entire function. In this paper, we investigate the value distribution of difference polynomials of meromorphic functions and prove some difference analogues to some classical results for differential polynomials.

引用

页码：365 / 376

页数：12

共 14 条

[1] On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane [J].

Chiang, Yik-Man ;

Feng, Shao-Ji .

RAMANUJAN JOURNAL, 2008, 16 (01) :105-129

[2]

Clunie J., 1962, J LOND MATH SOC, V37, P17

[3]

Halburd RG, 2006, ANN ACAD SCI FENN-M, V31, P463

[4] Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations [J].

Halburd, RG ;

Korhonen, RJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) :477-487

[5] PICARD VALUES OF MEROMORPHIC FUNCTIONS AND THEIR DERIVATIVES [J].

HAYMAN, WK .

ANNALS OF MATHEMATICS, 1959, 70 (01) :9-42

[6]

HAYMAN WK, 1964, MEROMORPHIC FUNCTION

[7]

Laine I., 1993, Nevanlinna theory and complex differential equations

[8] Clunie theorems for difference and q-difference polynomials [J].

Laine, Ilpo ;

Yang, Chung-Chun .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2007, 76 :556-566

[9] Value distribution of difference polynomials [J].

Laine, Ilpo ;

Yang, Chung-Chun .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2007, 83 (08) :148-151

[10]

LIU K, B AUST MATH IN PRESS

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