Painlevé Equation PII and Strongly Normal Extensions-Reference-Cited by-同舟云学术

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Painlevé Equation PII and Strongly Normal Extensions

Published:2016-12-01 Issue:4 Volume:49 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:
Short-container-title:

Author:

Miri Sofiane El-Hadi

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2016-0033/pdf

Reference9 articles.

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2. On algebraic relations between solutions of a generic Painlevé equation Journal Reine Painlevé equation PII A note on the transcendency of Painlevé s first transcendent;Nagloo;Angew Math Journal Math J,2011

3. Painlevé analysis and normal forms Computer Algebra and Differential;Brenig;Equations,1994

4. Solutions of the scond and fourth Painlevé equations;Umemura;Math J,1997

5. On non linear differential Galois theory Chinese;Malgrange;Ann Math Ser,2002

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