×

Growth of meromorphic solutions of higher order linear differential equations. (English) Zbl 1295.30076

Summary: In this article, we investigate the growth of meromorphic solutions of the differential equations \[ \displaylines{ f^{(k)}+A_{k-1}f^{(k-1)}+\dots+A_0f=0,\cr f^{(k)}+A_{k-1}f^{(k-1)}+\dots+A_0f=F,} \] where \(A_j, f\) \((j=0,\dots,k-1)\) are meromorphic functions. When there exists one dominant coefficient with lower order less than 1/2, we obtain some estimations of the hyper order and the hyper convergence exponent of zeros of meromorphic solutions of the above equations.

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
PDFBibTeX XMLCite
Full Text: EMIS