Meromorphic solutions of certain difference equations of first order

被引：3

作者：

Liu, Yong ^{[1
,2
]}

机构：

[1] Shaoxing Coll Arts & Sci, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

[2] Univ Eastern Finland, Dept Math & Phys, Joensuu 80101, Finland

来源：

AEQUATIONES MATHEMATICAE | 2014年 / 87卷 / 03期

关键词：

Meromorphic functions; difference equations; value distribution; finite order; GROWTH;

D O I：

10.1007/s00010-013-0192-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we investigate the growth and value distribution of meromorphic solutions of a first order difference equation with small coefficients in the complex plane.

引用

页码：309 / 323

页数：15

共 19 条

[1] Zeros of differences of meromorphic functions [J].

Bergweiler, Walter .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2007, 142 :133-147

[2]

Chen Z. X., 1996, Kodai Math. J., V19, P341

[3] 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

[4] ON THE GROWTH OF LOGARITHMIC DIFFERENCES, DIFFERENCE QUOTIENTS AND LOGARITHMIC DERIVATIVES OF MEROMORPHIC FUNCTIONS [J].

Chiang, Yik-Man ;

Feng, Shao-Ji .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (07) :3767-3791

[5]

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

[6] ESTIMATES FOR THE LOGARITHMIC DERIVATIVE OF A MEROMORPHIC FUNCTION, PLUS SIMILAR ESTIMATES [J].

GUNDERSEN, GG .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1988, 37 :88-104

[7] Finite-order meromorphic solutions and the discrete Painleve equations [J].

Halburd, R. G. ;

Korhonen, R. J. .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2007, 94 :443-474

[8]

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

[9] 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

[10]

Hayman W. K., 1964, Meromorphic functions

← 1 2 →