×

Some oscillation theorems for linear differential equations with meromorphic coefficients. (English) Zbl 0972.34072

The authors extend the Wiman-Valiron theory from entire functions to meromorphic ones and investigate the growth and zeros of meromorphic solutions of higher-order linear differential equations with meromorphic functions of order less than \(1/2\) as coefficients and one coefficient dominant.

MSC:

34M10 Oscillation, growth of solutions to ordinary differential equations in the complex domain
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
PDFBibTeX XMLCite