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

- Journal title : Journal of the Korean Mathematical Society
- Volume 46, Issue 4, 2009, pp.747-758
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2009.46.4.747

Title & Authors

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

Xu, Jun-Feng; Yi, Hong-Xun;

Xu, Jun-Feng; Yi, Hong-Xun;

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;

Language

English

Cited by

1.

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