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http://dx.doi.org/10.4134/BKMS.b170892

CERTAIN DIFFERENCE POLYNOMIALS AND SHARED VALUES

Li, Xiao-Min (Department of Mathematics Ocean University of China)
Yu, Hui (Department of Mathematics Ocean University of China)

Publication Information

Bulletin of the Korean Mathematical Society / v.55, no.5, 2018 , pp. 1529-1561 More about this Journal

Abstract

Let f and g be nonconstant meromorphic (entire, respectively) functions in the complex plane such that f and g are of finite order, let a and b be nonzero complex numbers and let n be a positive integer satisfying $n{\geq}21$ ( $n{\geq}12$ , respectively). We show that if the difference polynomials $f^n(z)+af(z+{\eta})$ and $g^n(z)+ag(z+{\eta})$ share b CM, and if f and g share 0 and ${\infty}$ CM, where ${\eta}{\neq}0$ is a complex number, then f and g are either equal or at least closely related. The results in this paper are difference analogues of the corresponding results from.

Keywords

Nevanlinna theory; difference polynomials; uniqueness theorems;

Citations & Related Records

Reference

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