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Zbl 1170.34356
Belaidi, Benharrat
Growth and oscillation of solutions to linear differential equations with entire coefficients having the same order. (English)
[J] Electron. J. Differ. Equ. 2009, Paper No. 70, 10 p., electronic only (2009). ISSN 1072-6691/e

Summary: We investigate the growth and fixed points of solutions of the differential equation $$ f^{(k)}+A_{k-1}(z)f^{(k-1)}+\dots +A_{1}(z)f'+A_{0}(z)f=0, $$ where $A_{0}(z),\dots, A_{k-1}(z)$ are entire functions. Some estimates are given for the iterated order and iterated exponent of convergence of fixed points of solutions of the above equation when most of the coefficients have the same order with each other.

MSC 2000:: *34M10 Oscillation, growth of solutions
30D35 Distribution of values (one complex variable)

Keywords: linear differential equation; growth of entire function; iterated order

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