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http://dx.doi.org/10.4134/JKMS.2009.46.4.747

GROWTH AND FIXED POINTS OF MEROMORPHIC SOLUTIONS OF HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS  

Xu, Jun-Feng (DEPARTMENT OF MATHEMATICS WUYI UNIVERSITY)
Yi, Hong-Xun (DEPARTMENT OF MATHEMATICS SHANDONG UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.4, 2009 , pp. 747-758 More about this Journal
Abstract
In this paper, we investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Because of the restriction of differential equations, we obtain that the properties of fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives are more interesting than that of general transcendental meromorphic functions. Our results extend the previous results due to M. Frei, M. Ozawa, G. Gundersen, and J. K. Langley and Z. Chen and K. Shon.
Keywords
linear differential equation; meromorphic function; fixed point;
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