Painlevé Equation PII and Strongly Normal Extensions

Sofiane El-Hadi Miri
2016 Demonstratio Mathematica  
AbstractThe 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.
doi:10.1515/dema-2016-0033 fatcat:ii6smrtbwvcadfpe477jcfbn6q