On the Value Distribution of fn f(k)-1

被引：0
作者：
Karmakar, Himadri [1 ]
Sahoo, Pulak [1 ]
机构：
[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India
来源：
RESULTS IN MATHEMATICS | 2018年 / 73卷 / 03期
关键词：
Nevanlinna theory; differential polynomial; meromorphic function; DIFFERENTIAL POLYNOMIALS; INEQUALITIES;
D O I：
10.1007/s00025-018-0859-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the value distribution of the differential polynomial f(n)f( (k)) - 1 where n(>= 2) and k(>= 1) are integers and obtain some inequalities concerning the Nevanlinna characteristic function T(r, f). Our result improves and generalizes the results obtained by Xu et al.
引用
收藏
页数：14
相关论文
共 11 条
  • [1] EXCEPTIONAL VALUES OF DIFFERENTIAL POLYNOMIALS
    DOERINGER, W
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1982, 98 (01) : 55 - 62
  • [2] Hayman W. K., 1964, Meromorphic functions
  • [3] On the value distribution of f2 f(k)
    Huang, XJ
    Gu, YX
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2005, 78 : 17 - 26
  • [4] Laine I., 1993, Nevanlinna theory and complex differential equations
  • [5] HAYMAN PROBLEM
    MUES, E
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1979, 164 (03) : 239 - 259
  • [6] Wang JP, 2006, KYUNGPOOK MATH J, V46, P169
  • [7] SOME INEQUALITIES OF DIFFERENTIAL POLYNOMIALS II
    Xu, Junfeng
    Yi, Hongxun
    Zhang, Zhanliang
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (01): : 93 - 100
  • [8] Xu JF, 2009, MATH INEQUAL APPL, V12, P99
  • [9] Yang C. C., 2003, Math. Appl., V557, DOI DOI 10.1007/978-94-017-3626-8
  • [10] Yang L., 1993, Value distribution theory
12