Electron. J. Differential Equations, Vol. 2017 (2017), No. 175, pp. 1-12.

Some properties of meromorphic solutions for q-difference equations

Hong Yan Xu, San Yang Liu, Xiu Min Zheng

Abstract:
The main purpose of this article is to investigate some properties on the meromorphic solutions of some types of q-difference equations, which can be seen the q-difference analogues of Paineve equations. We obtain estimates of the exponent of convergence of poles of $\Delta_qf(z):=f(qz)-f(z)$, which extends some earlier results by Chen et al.

Submitted February 14, 2017. Published July 10, 2017.
Math Subject Classifications: 39A50, 30D35
Key Words: Meromorphic function; q-difference equation; zero order.

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Hong Yan Xu
School of mathematics and statistics
Xidian University
Xi'an, Shaanxi 710126, China
email: xhyhhh@126.com}
San Yang Liu
School of mathematics and statistics
Xidian University
Xi'an, Shaanxi 710126, China
email: liusanyang@126.com
Xiu Min Zheng
Department of Mathematics
Jiangxi Normal University
Nanchan, Jiangxi 330022, China
email: zhengxiumin2008@sina.com

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