Remarks on the Yablonskii-Vorob'ev polynomials

Nagoya Mathematical Journal

Volumn 159, Issue , 2000, Pages 87-111

  Taneda, Makoto ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012730922     PISSN: 00277630     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0027763000007431     Document Type: Article

References (9)

1. Date, E., Jimbo, M. and Miwa, T., Soriton no suri, Iwanamikouza, Ouyou sugaku (in Japanese), Iwanami.
2. Fukutani, S., Okamoto, K. and Umemura, H., Special polynomials associated with the rational solutions of the second and fourth Painlevé equations, Nagoya Math. J., 159 (2000), 179-200.
3. Kajiwara, K. and Ohta, Y., Determinant structure of the rational solutions for the Painlevé II equation, J. Math. Phys., 37 (1996), 4693-4704.
4. Noumi, M. and Yamada, Y., Symmetries in the fourth Painlevé equation and the Okamoto polynomials, Preprint.
5. _, Umemura polynomials for the Painlevé V equation, Physics Letters, A 247 (1998), 65-69.
6. Okamoto, K., Studies on the Painlevé equations III, Math. Ann., 275 (1986), 221-255.
7. Umemura, H., Painlevé equations and classical functions, Sugaku (in Japanese), 47 (1996), 341-359.
8. _Special Polynomials associated with the Painlevé equation, I, Proceedings of workshop on the Painlevé equations (edited by Winternitz), Montreal, (1996).
9. Umemura, H. and Watanabe, H., Solutions of the second and fourth Painlevé equations, Nagoya Math J., 151 (1998), 1-24.