Meromorphic functions that weighted sharing three values and one pair

Kodai Mathematical Journal

Thamir C. Alzahary¹  Hong-Xun Yi² 

[1] Department of Mathematics Harbin Institute of Technology;Department of Mathematics Shandong University

关键词: Meromorphic functions;    Weighted sharing;    Uniqueness;   

DOI  :  10.2996/kmj/1143122383

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(6)G. Brosch improved the theorem of Nevanlinna for four values theorem and proved that let f and g be two nonconstant meromorphic functions sharing 0, 1, ∞ CM, and let a and b be two finite complex numbers such that a, b $\otin$ {0, 1}. If f = a ⇔ g = b, then f is a fractional linear transformation of g. In this paper we extend this theorem by using the idea of weighted sharing.

【 授权许可】

Unknown