Value sharing results of a meromorphic function $f(z)$ and $f(qz)$

Xiaoguang Qi; Kai Liu; Lianzhong Yang

doi:10.4134/BKMS.2011.48.6.1235

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Bull. Korean Math. Soc. 2011; 48(6): 1235-1243

Printed November 1, 2011

https://doi.org/10.4134/BKMS.2011.48.6.1235

Value sharing results of a meromorphic function $f(z)$ and $f(qz)$

Xiaoguang Qi, Kai Liu, and Lianzhong Yang

University of Jinan, Nanchang University, Shandong University

Abstract

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Abstract

In this paper, we investigate sharing value problems related to a meromorphic function $f(z)$ and $f(qz)$, where $q$ is a non-zero constant. It is shown, for instance, that if $f(z)$ is zero-order and shares two valves CM and one value IM with $f(qz)$, then $f(z)=f(qz)$.

Keywords: meromorphic functions, uniqueness, $q$-difference, sharing value

MSC numbers: 30D35, 39A05