A Polynomial Shared by Certain Differential Polynomials

被引:0
作者
Indrajit Lahiri
Kalyan Sinha
机构
[1] University of Kalyani,Department of Mathematics
[2] A. B. N. Seal College,Department of Mathematics
来源
Bulletin of the Iranian Mathematical Society | 2023年 / 49卷
关键词
Meromorphic function; Differential polynomial; Sharing; Polynomial; 30D35; 30D30;
D O I
暂无
中图分类号
学科分类号
摘要
The principal objective of the paper is to study the uniqueness of meromorphic functions when two differential polynomials share a nonzero polynomial. A result of Yang and Hua (Ann Acad Sci Fenn Math 22:395–406, 1997) is the starting point of this kind of research. In this direction, Majumder (Math Slovaca 67(1):151–164, 2017) proved two results, which contain a major gap in their proofs. In the paper, we not only present a corrected version of the results of Majumder but also provide some improvement of those.
引用
收藏
相关论文
共 15 条
  • [1] Cao YH(2012)Uniqueness of meromorphic functions sharing two values J. Inequal. 1 1-10
  • [2] Zhang XB(2002)Meromorphic functions that share fixed points J. Math. Anal. Appl. 268 426-439
  • [3] Fang M(1989)Meromorphic functions sharing zeros and poles and also some of their derivatives sharing zeros Complex Var. Theory Appl. 11 39-48
  • [4] Qiu H(2001)Weighted sharing and uniqueness of meromorphic functions Nagoya Math. J. 161 193-206
  • [5] Köhler L(2001)Weighted value sharing and uniqueness of meromorphic functions Complex Var. Theory Appl. 46 241-253
  • [6] Lahiri I(2020)Linear differential polynomials sharing a set of the roots of unity Commun. Korean Math. Soc. 35 773-787
  • [7] Lahiri I(2010)Meromorphic functions sharing a nonzero polynomial CM Bull. Korean Math. Soc. 47 319-329
  • [8] Lahiri I(2017)On a conjecture of Y. H. Cao and X. B. Zhang Math. Slovaca 67 151-164
  • [9] Sinha K(1926)Eindeutigkeitssätze in der Theorie der Meromorphic Funktionen Acta Math. 48 367-391
  • [10] Li XM(1997)Uniqueness and value sharing of meromorphic functions Ann. Acad. Sci. Fenn. Math. 22 395-406