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Growth and oscillation of some polynomials generated by solutions of complex differential equations. (English) Zbl 1332.34140

Summary: We continue the study of some properties on the growth and oscillation of solutions of linear differential equations with entire coefficients of the type \[ f^{\prime\prime}+A(z)f^{\prime}+B(z)f=0 \] and \[ f^{(k)}+A_{k-2}(z) f^{(k-2)}+\ldots +A_{0}(z) f=0. \]

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
34M03 Linear ordinary differential equations and systems in the complex domain
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