Growth of solutions of complex differential equations with coefficients being Lacunary series of finite iterated order (Q2811244)
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scientific article; zbMATH DE number 6591716
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Growth of solutions of complex differential equations with coefficients being Lacunary series of finite iterated order |
scientific article; zbMATH DE number 6591716 |
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10 June 2016
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entire functions
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meromorphic functions
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differential equations
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Lacunary series
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iterated order
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Growth of solutions of complex differential equations with coefficients being Lacunary series of finite iterated order (English)
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Let \(\Re \) be the ring of entire in \(\mathbb{C}\) functions. The paper deal with the growth of meromorphic solutions of linear differential equations of the form NEWLINE\[NEWLINE{{p}_{n}}{{y}^{(n)}}+\ldots +{{p}_{0}}y=f,{{p}_{n}},\ldots ,{{p}_{0}},f\in \Re . NEWLINE\]NEWLINE The authors extend some previous results due to \textit{J. Tu} et al. [J. Math. Res. Appl. 32, No. 6, 687--693 (2012; Zbl 1274.30129)] obtained for the case \({p_n}=1\).
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