Differential equation;
Meromorphic function;
Order of the growth;
Convergence exponent of zero points;
Unit disc;
FINITE-ORDER SOLUTIONS;
MEROMORPHIC SOLUTIONS;
COEFFICIENTS;
D O I:
10.1016/j.jmaa.2008.11.033
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We consider the complex differential equations of the form A(k)(z)f((k)) + A(k-1) (Z)f((k-1)) + ... + A(1) (z)f' + A(0)(z)f = F (z). where A0 ( 6 0), A(0) (not equivalent to 0). A(1,....)A(k) and F are analytic functions in the unit disc D = {z is an element of C: vertical bar z vertical bar < 1}. Some results Oil the finite iterated order and the finite iterated convergence exponent of zero points in D of meromorphic (analytic) Solutions are obtained. The fixed points Of Solutions of differential e(equations are also investigated in this paper. (c) 2008 Elsevier Inc. All rights reserved.