Generalized umemura polynomials

Rocky Mountain Journal of Mathematics

Volumn 32, Issue 2, 2002, Pages 691-702

  Kirillov, Anatol N ^a   Taneda, Makoto ^b  

^a NAGOYA UNIVERSITY   (Japan)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036624956     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1030539693     Document Type: Article

References (9)

1. R. Conte, editor, The Painlevé property. One century later, CRM Series Math. Physics, Springer-Verlag, New York, 1999.
2. M. Noumi, K. Okamoto, S. Okada and H. Umemura, Special polynomials associated with the Painleve equation II, in Integrable systems and algebraic geometry, World Scientific, 1998.
3. K. Okamoto, Studies on Painlevequation I, Ann. Mat. Pura Appl. 146 (1987), 337-381;
4. K. Okamoto, Studies on Painlevequation II, Jap. J. Math. 13 (1987), 47-76;
5. K. Okamoto, Studies on Painlevequation III, Math. Ann. 275 (1986, 221-255);
6. K. Okamoto, Studies on Painlevequation IV, Funkcial. Ekvac. 30(1987), 305-332.
7. M. Taneda, Polynomials associated with an algebraic solution of the sixth Painleve equation, Jap. J. Math, to appear.
8. H. Umemura, Special polynomials associated with the Painleve equationI, Proceedings of Workshop on the Painleve transcendents, Montreal, 1996.
9. J. F. van Deijen and A. N. Kirillov, Determinantal formulas for zonal spherical functions of hyperboloids, Math. Ann. 319(2001), 215-234.