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On the iterated exponent of convergence of solutions of linear differential equations with entire and meromorphic coefficients. (English) Zbl 1272.34119

Summary: We investigate the zeros of the difference of the derivative of solutions of the higher-order linear differential equations \[ f^{(k)} + A_{k-1}(z)f^{(k-1)} + \dotsb + A_1(z)f' + A_0(z)f = 0 \] and small functions, where \(A_0(z), \dotsc, A_{k-1}(z)\) are entire or meromorphic functions of finite iterated order \(p\).

MSC:

34M10 Oscillation, growth of solutions to ordinary differential equations in the complex domain
34M03 Linear ordinary differential equations and systems in the complex domain
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