Some Properties of The Solutions of Higher Analogue of The Painlevé Equation |
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| Authors: | Ye-zhou Li |
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| Institution: | (1) School of Science, Beijing University of Posts and Elecommunications, Beijing 100876, China;(2) School of Aeronautical Sciences and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083 |
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| Abstract: | 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.
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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| Keywords: | Painlevé equation the second main inequality value distribution |
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