Uniqueness of meromorphic functions and differential polynomials

被引：36

作者：

Fang, CY ^{[1
]}

Fang, ML ^{[1
]}

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2002年 / 44卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

meromorphic function; sharing value; uniqueness;

D O I：

10.1016/S0898-1221(02)00175-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using Nevanlinna value distribution theory, we study the uniqueness of meromorphic functions concerning differential polynomials, and prove the following theorem. Let f (z) and g(z) be two nonconstant meromorphic functions, n(greater than or equal to 13) be a positive integer. If f(n) (f - 1)(2)f' and g(n) (g - 1)(2) g' share 1 CM, then f = g. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：607 / 617

页数：11

共 13 条

[1]

Fang ML, 1998, ACTA MATH SIN, V14, P569

[2]

FANG ML, 1997, ANALYSIS, V17, P355

[3] Adaptive Forms: an interaction technique for entering structured data [J].

Frank, MR ;

Szekely, P .

KNOWLEDGE-BASED SYSTEMS, 1998, 11 (01) :37-45

[4]

Gross F., 1976, ser. Lecture Notes in Math, V599, P51

[5]

HAYMAN WK, 1964, MEROMORPHIC FUNCTION

[6] On the unique range set of meromorphic functions [J].

Li, P ;

Yang, CC .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (01) :177-185

[7] DEFICIENCIES OF DIFFERENTIAL POLYNOMIALS .2. [J].

YANG, C .

MATHEMATISCHE ZEITSCHRIFT, 1972, 125 (02) :107-&

[8]

Yang L., 1993, VALUE DISTRIBUTION T

[9]

Yi H.X., 1995, Uniqueness Theory of Meromorphic Functions, V32

[10]

Yi H. X., 1996, Chinese Ann. Math. (Ser. A), V17, P397

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