释义 |
Painlevé Transcendents
| (1) |
| (2) |
| (3) |
Transcendents 4-6 do not have known first integrals, but all transcendents have first integrals for special values of theirparameters except (1). Painlevé found the above transcendents (1) to (3), andthe rest were investigated by his students. The sixth transcendent was found by Gambier and contains the other five aslimiting cases.See also Painlevé Property
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