UNIQUENESS OF ENTIRE FUNCTIONS AND DIFFERENTIAL POLYNOMIALS

Title & Authors
UNIQUENESS OF ENTIRE FUNCTIONS AND DIFFERENTIAL POLYNOMIALS
Xu, Junfeng; Yi, Hongxun;

Abstract
In this paper, we study the uniqueness of entire functions and prove the following result: Let f and g be two nonconstant entire functions, n, m be positive integers. If $\small{f^n(f^m-1)f#\;and\;g^n(g^m-1)g#}$ share 1 IM and n>4m+11, then $\small{f{\equiv}g}$. The result improves the result of Fang-Fang.
Keywords
uniqueness;entire function;sharing values;
Language
English
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