Electron. J. Diff. Equ., Vol. 2014 (2014), No. 16, pp. 1-11.

Meromorphic solutions to complex difference and q-difference equations of Malmquist type

Jie Zhang, Jianjun Zhang

Abstract:
In this article, we study the zeros, poles and fixed points of finite order transcendental meromorphic solutions of complex difference and q-difference equations of Malmquist type respectively. Some examples are structured to show that our results are sharp.

Submitted September 13, 2013. Published January 10, 2014.
Math Subject Classifications: 30D35, 34M10.
Key Words: Meromorphic; differential-difference equation; fixed point; order.

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Jie Zhang
College of Science
China University of Mining and Technology
Xuzhou 221116, China
email: zhangjie1981@cumt.edu.cn
Jianjun Zhang
Mathematics and Information Technology School
Jiangsu Second Normal University
Nanjing 210013, China
email: zhangjianjun1982@163.com

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