Properties of differences of meromorphic functions

被引：17

作者：

Chen, Zong-Xuan ^{[1
]}

Shon, Kwang Ho ^{[2
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Pusan Natl Univ, Coll Nat Sci, Dept Math, Pusan 609735, South Korea

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2011年 / 61卷 / 01期

基金：

中国国家自然科学基金;

关键词：

meromorphic function; difference; divided difference; zero; fixed point; EQUATIONS; ZEROS; POINTS;

D O I：

10.1007/s10587-011-0008-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference g(z) = f(z + c) - f(z) and the divided difference g(z)/f(z).

引用

页码：213 / 224

页数：12

共 19 条

[1] On the extension of the Painleve property to difference equations [J].

Ablowitz, MJ ;

Halburd, R ;

Herbst, B .

NONLINEARITY, 2000, 13 (03) :889-905

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

Bergweiler, Walter .

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

[3]

Bergweiler W, 1995, REV MAT IBEROAM, V11, P355

[4] On zeros and fixed points of differences of meromorphic functions [J].

Chen, Zong-Xuan ;

Shon, Kwang Ho .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (01) :373-383

[5] 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

[6]

CLUNIE J, 1993, J LOND MATH SOC, V47, P309

[7]

CONWAY JB, FUNCTIONS 1 COMPLEX

[8] ON THE ZEROS OF MEROMORPHIC FUNCTIONS OF THE FORM F(Z)=SIGMA(K=1)INFINITY A(K)/Z-Z(K) [J].

EREMENKO, A ;

LANGLEY, J ;

ROSSI, J .

JOURNAL D ANALYSE MATHEMATIQUE, 1994, 62 :271-286

[9] 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

[10]

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

← 1 2 →