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Oscillation of complex high order linear differential equations with coefficients of finite iterated order. (English) Zbl 1188.30043

Summary: We investigate the growth of solutions of complex high order linear differential equations with entire or meromorphic coefficients of finite iterated order, and we obtain some results which improve and extend some previous results of Z. X. Chen [Acta Math. Sin., Engl. Ser. 18, No.1, 79–88 (2002; Zbl 1014.34078)] and L. Kinnunen [Southeast Asian Bull. Math. 22, No.4, 385–405 (1998; Zbl 0934.34076)].

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
34M99 Ordinary differential equations in the complex domain
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