Abstract
In this paper, we investigate the value distribution properties for the solution w(z) of higher-order Painlevé equations. We prove that the Nevanlinna’s second main inequality for w(z) is reduced to an asymptotic equality.
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Supported by the Mathematical Tianyuan Foundation of China (No.10426007) and the National Natural Science Foundation of China (No.10272017, No.10471028)
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Li, Yz. Some Properties of The Solutions of Higher Analogue of The Painlevé Equation. Acta Mathematicae Applicatae Sinica, English Series 22, 59–64 (2006). https://doi.org/10.1007/s10255-005-0285-0
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DOI: https://doi.org/10.1007/s10255-005-0285-0