Geodesic
Isomonodromic deformations of Heun and Painlev\'e equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 395-406

Voir la notice de l'article provenant de la source Math-Net.Ru

Continuing the study of the relationship between the Heun and the Painlevé classes of equations reported in two previous papers, we formulate and prove the main theorem expressing this relationship. We give a Hamiltonian interpretation of the isomonodromic deformation condition and propose an alternative classification of the Painlevé equations, which includes ten equations. 
@article{TMF_2000_123_3_a2,
     author = {S. Yu. Slavyanov},
     title = {Isomonodromic deformations of {Heun} and {Painlev\'e} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {395--406},
     publisher = {mathdoc},
     volume = {123},
     number = {3},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a2/}
}
TY  - JOUR
AU  - S. Yu. Slavyanov
TI  - Isomonodromic deformations of Heun and Painlev\'e equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2000
SP  - 395
EP  - 406
VL  - 123
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a2/
LA  - ru
ID  - TMF_2000_123_3_a2
ER  - 
%0 Journal Article
%A S. Yu. Slavyanov
%T Isomonodromic deformations of Heun and Painlev\'e equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2000
%P 395-406
%V 123
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a2/
%G ru
%F TMF_2000_123_3_a2
S. Yu. Slavyanov. Isomonodromic deformations of Heun and Painlev\'e equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 3, pp. 395-406. http://geodesic.mathdoc.fr/item/TMF_2000_123_3_a2/