On a conjecture of R. Bruck and some linear differential equations

被引：6

作者：

Xu, Hong Yan ^{[1
]}

Yang, Lian Zhong ^{[2
]}

机构：

[1] Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Jiangxi, Peoples R China

[2] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

来源：

SPRINGERPLUS | 2015年 / 4卷

关键词：

Entire function; Bruck conjecture; Difference polynomial;

D O I：

10.1186/s40064-015-1530-5

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we mainly investigate the Bruck conjecture concerning entire function f and its differential polynomial L-1(f) = a(k)(z)f((k)) + ... + a(0)(z)f sharing an entire function alpha(z) with sigma(alpha) <= sigma(f), by using the theory of complex differential equation.

引用

页码：1 / 10

页数：10

共 19 条

[1]

Bruck R., 1996, Results Math., V30, P21

[2] Entire functions that share a small function with their derivatives [J].

Chang, Jianming ;

Zhu, Yingzhong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (01) :491-496

[3]

Chen X., 2014, J JIANGXI NORM U NAT, V38, P37

[4] Entire functions that share one value with one or two of their derivatives [J].

Gundersen, GG ;

Yang, LZ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 223 (01) :88-95

[5]

Hayman WK., 1964, Meromorphic functions

[6]

He Y., 1988, ALGEBROID FUNCTIONS

[7]

Laine I., 1993, Nevanlinna Theory and Complex Differential Equations

[8] Entire functions sharing one polynomial with their derivatives [J].

Li, Xiao-Min ;

Gao, Cun-Chen .

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2008, 118 (01) :13-26

[9] An entire function and its derivatives sharing a polynomial [J].

Li, Xiao-Min ;

Yi, Hong-Xun .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (01) :66-79

[10]

Liao L. W., 2015, J JIANGXI NORMAL U N, V39, P331

← 1 2 →