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On the iterated exponent of convergence of solutions of linear differential equations. (English) Zbl 1380.34128
Summary: In this paper, we investigate the relationship between solutions and their derivatives of the differential equation \[ f^{(k)}+A_{k-1}f^{(k-1)}+\ldots+A=0 \] for \(k\geq2\) and small functions, where \(A_j\) \((j=0,1,\dots,k-1)\) are meromorphic functions of finite iterated \(p\)-order.
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
34M05 Entire and meromorphic solutions to ordinary differential equations in the complex domain
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