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Research articles

ScienceAsia 44 (2018): 218-225 |doi: 10.2306/scienceasia1513-1874.2018.44.218

Value distribution of meromorphic solutions of some second order equations

Yunfei�Dua, Zongsheng�Gaoa, Jilong�Zhanga, Ming�Zhaob,*

ABSTRACT:     We investigate the value distribution of some second-order differential-difference and q-difference equations. In particular, the existence of Borel exceptional values, and the relationship between the exponent of convergence of zeros, fixed points, and the growth order of the transcendental meromorphic solutions of these equations are studied. The existence of the rational solutions and some other properties of these equations are also studied.

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a LMIB-School�of�Mathematics�and�Systems�Science, Beihang�University, Beijing, 100191, China
b School�of�Science, China�University�of�Geosciences, Beijing, 100083, China

* Corresponding author, E-mail: zhaoming311@163.com

Received 12 Mar 2018, Accepted 25 Jul 2018