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Growth and oscillation theory of non-homogeneous complex differential equations with entire coefficients. (English) Zbl 1165.30355
Summary: We investigate the growth and the complex oscilllation theorey of the linear differential equation \(f^{(k)}+A_{k-1}f^{(k-1)}+\ldots+A_1f'+A_0f=F\), where \(A_0, A_1,\ldots, A_{k-1}\), \(F\not\equiv 0\) are entire functions. We also investigate the relation between the solutions of a pair of non-homogeneous linear differential equations. We improve some results due to the author, S. Abbas and Z. X. Chen, S.A. Gao.

MSC:
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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