The first, the second and the fourth Painlevé transcendents are of finite order
Shimomura, Shun
Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, p. 42-45 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We show that every solution of the first Painlevé equation has the finite growth order. The second and the fourth Painlevé equations have the same property.
Publié le : 2001-03-14
Classification:  Painlevé equations,  growth order,  34M55,  30D35 
@article{1148393109,
     author = {Shimomura, Shun},
     title = {The first, the second and the fourth Painlev\'e transcendents are of finite order},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {77},
     number = {10},
     year = {2001},
     pages = { 42-45},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393109}
}

Shimomura, Shun. The first, the second and the fourth Painlevé transcendents are of finite order. Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, pp.  42-45. http://gdmltest.u-ga.fr/item/1148393109/