Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Algebraic Independence of Painlevé First Transcendents
Keiji Nishioka
著者情報
ジャーナル フリー

2004 年 47 巻 2 号 p. 351-360

詳細
抄録
It will be proved that Painlevé first transcendents and their first derivatives are algebraically independent over the rational function field with complex coefficients, by the use of the irreducibility. A particular case indicates that the group of differential automorphisms of the differential field generated by a Painlevé first transcendent over the rational function field is trivial.
著者関連情報
© 2004 by the Division of Functional Equations, The Mathematical Society of Japan
前の記事
feedback
Top