This article concerns
the value distribution
of the third Painlevé transcendents
in sectorial domains
around fixed singular points.
We show that the cardinality of the zeros
of a third Painlevé transcendent in a sector
has an asymptotic growth of finite order,
thereby giving
an improvement of the known estimation.
Publié le : 2007-06-14
Classification:
Painlevé transcendents,
value distribution,
sector,
34M55,
30D35,
32A22
@article{1188405575,
author = {Sasaki, Yoshikatsu},
title = {Value distribution of the third Painlev\'e transcendents in sectorial domains},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {83},
number = {1},
year = {2007},
pages = { 79-82},
language = {en},
url = {http://dml.mathdoc.fr/item/1188405575}
}
Sasaki, Yoshikatsu. Value distribution of the third Painlevé transcendents in sectorial domains. Proc. Japan Acad. Ser. A Math. Sci., Tome 83 (2007) no. 1, pp. 79-82. http://gdmltest.u-ga.fr/item/1188405575/