MR1285481
Nishioka, K.
null
Painlev\'e-Umemura extensions
Funkcialaj Ekvacioj. Serio Internacia
37
1994
59--64
http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol37/fe37-1-4.pdf
http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE35-40-en_KML/fe37-059-064/fe37-059-064.pdf
http://www.ams.org/mathscinet-getitem?mr=MR1285481
fe37-059-064
1994
Painlev\'e-Umemura Extensions
NISHIOKA, K.
NISHIOKA, K.
1
Buium, A.
Differential function fields and moduli of algebraic varieties
Lecture Notes in Math
1226
Springer, Berlin
1986
MR874111
100
Cache/Bu/Buium,*,*,1986,1987
x+146
2
Kolchin, E. R.
Differential algebra and algebraic groups
Academic Press, New York
1973
MR0568864
100
Cache/Ko/Kolchin,*,*,1973,1974
xviii+446
3
Matsuda, M.
First order algebraic differential equations
Lecture Notes in Math
804
Springer, Berlin
1980
MR576060
75
Cache/Ma/Matsuda,algebraic,*,1980,1981
vi+111
4
Nishioka, K.
A class of transcendental functions containing elementary and elliptic ones
Osaka J. Math.
22
1985
743-753
MR815443
100
Cache/Ni/Nishioka,transcendental,Osaka*,1985,1986
5
Nishioka, K.
A note on the transcendency of Panilev\'e's first transcendent
Nagoya Math. J.
109
1988
63-67
MR931951
88
Cache/Ni/Nishioka,transcendency,Nagoya*,1988,1989
6
Nishioka, K.
General solutions depending algebraically on arbitrary constants
Nagoya Math. J.
113
1989
1-6
MR986432
100
Cache/Ni/Nishioka,algebraically,Nagoya*,1989,1990
7
Nishioka, K.
Differential algebraic function fields depending rationally on arbitrary constants
Nagoya Math. J.
113
1989
173-179
MR986443
100
Cache/Ni/Nishioka,*,Nagoya*,1989,1990
8
Painlev\'e, P.
Le\c{c}ons de Stockholm, OEuvres de P. Painlev\'e I
\'Editions du C.N.R.S., Paris
1972
199-818
Title does not match.
Oeuvres de Paul Painlev\'e Tome I
Cache/Pa/Painlev\'e,*,*,1972,1973
MR0532682
9
Umemura, H.
On the irreducibility of the first differential equation of Painlev\'e
Algebraic Geometry and Commutative Algebra in honor of Masayosi NAGATA
Kinokuniya, Tokyo
1987
771-789
MR944888
85
S\=ugaku
Cache/Um/Umemura,irreducibility,*,1987,1988
10
Umemura, H.
Second proof of the irreducibility of the first differential equation of Painlev\'e
Nagoya Math. J.
117
1990
125-171
MR1044939
100
Cache/Um/Umemura,irreducibility,Nagoya*,1990,1991
11
Umemura, H.
Birational automorphism groups and differential equations
Nagoya Math. J.
119
1990
1-80
MR1071899
100
Cache/Um/Umemura,automorphism,Nagoya*,1990,1991