Umemura polynomials for the Painlevé V equation

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 247, Issue 1-2, 1998, Pages 65-69

  Noumi, Masatoshi ^a   Yamada, Yasuhiko ^a  

^a KOBE UNIVERSITY   (Japan)

Author keywords

Painlev equations; Rational solutions; Schur functions

Indexed keywords

EXPLICIT FORMULA; INDEPENDENT VARIABLES; ONE PARAMETER FAMILY; PAINLEVE; RATIONAL SOLUTION; SCHUR FUNCTION; SPECIAL POLYNOMIALS;

RATIONAL FUNCTIONS;

EID: 0042096315     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00625-2     Document Type: Article

References (9)

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2. K. Okamoto, Math. Ann. 275 (1986) 221.
3. H. Umemura, Special polynomials associated with the Painlevé equations I (1996), preprint.
4. M. Noumi, S. Okada, K. Okamoto, H. Umemura, Special polynomials associated with the Painlevé equations II (1997), preprint.
5. J. Satsuma, K. Kajiwara, B. Grammaticos, J. Hietarinta, A. Ramani, J. Phys. A 28 (1995) 3541.
6. K. Kajiwara, K. Yamamoto, Y. Ohta, Phys. Lett. A 232 (1997) 189.
7. K. Kajiwara, Y. Ohta, J. Math. Phys. 37 (1996) 4693.
8. M. Noumi, Y. Yamada, Symmetries in the fourth Painlevé equation and Okamoto polynomials, Nagoya Math. J., to appear.
9. K. Kajiwara, Y. Ohta, Determinant structure of the rational solutions for the Painlevé IV equation, preprint solvint/9707011.