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Properties on Meromorphic Solutions of Composite Functional-Differential Equations

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Abstract

With the aid of Nevanlinna value distribution theory, differential equation theory and difference equation theory, we estimate the non-integrated counting function of meromor- phic solutions on composite functional-differential equations under proper conditions.We also get the form of meromorphic solutions on a type of system of composite functional equations. Examples are constructed to show that our results are accurate.

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Correspondence to Lingyun Gao.

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This work was partially supported by NSFC of China (11271227,11271161), PCSIRT (IRT1264), the Fundamental Research Funds of Shandong University (2017JC019), and NSFC of Shandong (ZR2018MA014).

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Liu, M., Gao, L. Properties on Meromorphic Solutions of Composite Functional-Differential Equations. Acta Math Sci 40, 557–571 (2020). https://doi.org/10.1007/s10473-020-0217-3

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  • DOI: https://doi.org/10.1007/s10473-020-0217-3

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