Bull. Korean Math. Soc. 2018; 55(1): 51-61
Online first article July 26, 2017 Printed January 31, 2018
https://doi.org/10.4134/BKMS.b160844
Copyright © The Korean Mathematical Society.
Jie Zhang
China University of Mining and Technology
In this article, we mainly use Nevanlinna theory to investigate some special difference equations of malmquist type such as $f^2+{(\Delta_c f)}^2={\beta}^2$, ${f}^2+{(\Delta_cf)}^2=R$, ${f'}^2+{(\Delta_cf)}^2=R$ and $f^2+{\big(f(z+c)\big)}^2=R$, where $\beta$ is a nonzero small function of $f$ and $R$ is a nonzero rational function respectively. These discussions extend one related result due to C.~C.~Yang et al.~in some sense.
Keywords: Nevanlinna theory, uniqueness, difference equation, differential equation
MSC numbers: Primary 30D35, 30D05, 34M10
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