An elementary and direct proof of the Painlevé property for the Painlevé equations I,II and IV |
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| Authors: | Jishan Hu Min Yan |
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| Institution: | (1) Department of Mathematics, University of Science and Technology, Clear Water Bay, Hong Kong |
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| Abstract: | We present a direct and elementary proof that all the solutions of the Painlevé Equations I, II and IV are meromorphic functions
on the whole complex plane. The proof uses some ideas from the existing proofs but applies the ideas in a different setting.
Research was supported by Hong Kong Research Grant Council Earmark Grant HKUST6123/00P.
Research was supported by Hong Kong Research Grant Council Earmark Grant HKUST6107/02P. |
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