Hyper-order and order of meromorphic functions sharing functions

被引：0
作者：
Qi, Jianming [1 ]
Yuan, Wenjun [2 ]
Yi, Hongxun [3 ]
机构：
[1] Shanghai Dianji Univ, Dept Math & Phys, Shanghai 201306, Peoples R China
[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
[3] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
ANNALES POLONICI MATHEMATICI | 2015年 / 115卷 / 02期
关键词：
complex differential equation; normal family; Nevanlinna theory; NORMAL-FAMILIES; DERIVATIVES;
D O I：
10.4064/ap115-2-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we mainly estimate the hyper-order of an entire function which shares one function with its derivatives. Some examples are given to show that the conclusions are meaningful.
引用
收藏
页码：189 / 199
页数：11
相关论文
共 10 条
  • [1] 24Yi Hong-Xun, 1995, Pure Appl. Math. Monographs
  • [2] Normal families of holomorphic functions
    Chang, JM
    Fang, ML
    Zalcman, L
    [J]. ILLINOIS JOURNAL OF MATHEMATICS, 2004, 48 (01) : 319 - 337
  • [3] Grahl Jurgen., 2008, ANAL MUNICH, V28, P51
  • [4] The growth of entire solutions of some algebraic differential equations
    Gu, Rongmei
    Li, Zhirong
    Yuan, Wenjun
    [J]. GEORGIAN MATHEMATICAL JOURNAL, 2011, 18 (03) : 489 - 495
  • [5] Entire functions sharing one polynomial with their derivatives
    Li, Xiao-Min
    Gao, Cun-Chen
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2008, 118 (01): : 13 - 26
  • [6] Lii F., 2009, ARCH MATH BASEL, V92, P593
  • [7] A NOTE ON THE HYPER-ORDER OF ENTIRE FUNCTIONS
    Lu, Feng
    Qi, Jianming
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (04) : 1209 - 1219
  • [8] Entire functions that share a function with their first and second derivatives
    Lu, Feng
    Xu, Junfeng
    [J]. ANNALES POLONICI MATHEMATICI, 2012, 104 (01) : 81 - 96
  • [9] Normal families and shared values
    Pang, XC
    Zalcman, L
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2000, 32 : 325 - 331
  • [10] The general result of Gol'dberg's theorem concerning the growth of meromorphic solutions of algebraic differential equations
    Yuan, Wenjun
    Xiao, Bing
    Zhang, Jianjun
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (09) : 1788 - 1791
1