Multiple-scale analysis for Painlevé transcendents with a large parameter
Aoki, Takashi
Banach Center Publications, Tome 38 (1997), p. 11-17 / Harvested from The Polish Digital Mathematics Library
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:208654
@article{bwmeta1.element.bwnjournal-article-bcpv39z1p11bwm,
     author = {Aoki, Takashi},
     title = {Multiple-scale analysis for Painlev\'e transcendents with a large parameter},
     journal = {Banach Center Publications},
     volume = {38},
     year = {1997},
     pages = {11-17},
     zbl = {0882.34059},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p11bwm}
}
Aoki, Takashi. Multiple-scale analysis for Painlevé transcendents with a large parameter. Banach Center Publications, Tome 38 (1997) pp. 11-17. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p11bwm/

[000] [AKT1] T. Aoki, T. Kawai and Y. Takei, The Bender-Wu analysis and the Voros theory, in: ICM-90 Satellite Conf. Proc. ``Special Functions'' (M. Kashiwara and T. Miwa, editors), Springer-Verlag, 1991, 1-29.

[001] [AKT2] T. Aoki, T. Kawai and Y. Takei, Algebraic analysis of singular perturbations - On exact WKB analysis, Sugaku Expositions 8 (1995), 217-240.

[002] [AKT3] T. Aoki, T. Kawai and Y. Takei, WKB analysis of Painlevé transcendents with a large parameter, II, in preparation. | Zbl 0894.34050

[003] [BO] C. M. Bender and S. T. Orszag, Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, 1978. | Zbl 0417.34001

[004] [JK] N. Joshi and M. Kruskal, Connection results for the first Painlevé equation, in: Painlevé transcendents (D. Levi and P. Winternitz, editors), Plenum Press, New York, 1992, 61-79. | Zbl 0856.34014

[005] [KT] T. Kawai and Y. Takei, WKB analysis of Painlevé transcendents with a large parameter, I, Adv. Math. 118 (1996), 1-33. | Zbl 0848.34005

[006] [V] A. Voros, The return of the quartic oscillator. The complex WKB method, Ann. Inst. H. Poincaré Sect. A (N.S.) 39 (1983), 211-338. | Zbl 0526.34046