an:05555786
Zbl 1160.34357
Cao, Ting-Bin
The growth, oscillation and fixed points of solutions of complex linear differential equations in the unit disc
EN
J. Math. Anal. Appl. 352, No. 2, 739-748 (2009).
00248514
2009
j
34M10 30D35
differential equation; meromorphic function; order of the growth; convergence exponent of zero points; unit disc
Summary: We consider the complex differential equations of the form \(A_k(z)f^{(k)}+_{Ak - 1}(z)f^{(k - 1)}+\dots +A_1(z)f'+A_0(z)f=F(z)\), where \(A_0 (\not\equiv 0)\), \(A_1,\dots ,A_k\) and \(F\) are analytic functions in the unit disc \(D=\{z\in\mathbb{C}:|z|<1\}\). Some results on 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 equations are also investigated in this paper.