Painlevé equations as classical analogues of Heun equations

Journal of Physics A: Mathematical and General

Volumn 29, Issue 22, 1996, Pages 7329-7335

  Slavyanov, S Yu ^a,b  

^a MAX PLANCK INSTITUTE FOR INTELLIGENT SYSTEMS   (Germany)

^b ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030597272     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/22/026     Document Type: Article

References (7)

1. Decarreau A, Dumont-Lepage M C, Maroni P, Robert A and Ronveaux A 1978 Formes canoniques des equations confluences de l'equation de Heun Ann. Soc. Sc. de Bruxelle 92 53-78
2. Lay W, Seeger A and Slavyanov S Yu 1995 Classification Heun's Differential Equation ed A Ronveaux (Oxford: Oxford University Press)
3. Seeger A, Lay W and Slavyanov S Yu 1995 Confluence of Fuchsian second-order differential equations Theor. i Mathem. Fysika 104 N2
4. Seeger A and Lay W (eds) 1990 Centennial Workshop on Heun's Equation - Theory and Applications (Stuttgart: MPI/MF)
5. Fuchs R 1907 Ueber lineare homogene Differentialgleichungen zweiter Ordnung mit drei im Endlichen gelegenen wesentlich singuläeren Stellen Math. 63 301-21
6. Garnier R 1917 Etude de l'integrale generale de l'equation VI de M Painlevé Ann. Sci. Ecole Norm. Sup. 3 (ser. 34) 239-353
7. Iwasaki K, Kimura H, Shimomura S and Ioshida M 1991 From Gauss to Painlevé: a Modern Theory of Special Functions (Braunschweig: Vieweg)