Solution of a differential equation and its applications. (English) Zbl 1004.30021

The author proves that every solution of differential equation \(f^{(k)}-e^{Q(z)}f=1\) (\(k\geq 1\), Q is a nonconstant polynomial) is an entire function of infinite order. He gives some applications of this result.


30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
30D20 Entire functions of one complex variable (general theory)
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