Painlevé Equation PII and Strongly Normal Extensions

Demonstratio mathematica

article

Sofiane El-Hadi Miri¹ 

[1] Laboratoire D’Analyse Non Linéaire Et Mathématiques Appliquées Bp 119 Tlemcen 13000 Algeria;Département Gee Bp 230 Tlemcen 13000, Université De Tlemcen

关键词: Painlevé equation PII;    differential algebra;    strongly normal extensions;   

DOI  :  10.1515/dema-2016-0033

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

The aim of this paper is to show that if F is a differential field and y is a PII transcendent such that tr.deg.F 〈y〉 = 2, then every constant in F〈y〉 is in F. We also show that in this case, F〈y〉 is not contained in any strongly normal extension.

【 授权许可】

CC BY