Value sharing results of a meromorphic function $f(z)$ and $f(qz)$
Bull. Korean Math. Soc. 2011 Vol. 48, No. 6, 1235-1243
https://doi.org/10.4134/BKMS.2011.48.6.1235
Published online November 1, 2011
Xiaoguang Qi, Kai Liu, and Lianzhong Yang
University of Jinan, Nanchang University, Shandong University
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
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