Painlevé Equation PII and Strongly Normal Extensions
Abstract: 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.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Painlevé Equation PII and Strongly Normal Extensions ; volume:49 ; number:4 ; year:2016 ; pages:386-397 ; extent:12
Demonstratio mathematica ; 49, Heft 4 (2016), 386-397 (gesamt 12)
- Creator
-
Miri, Sofiane El-Hadi
- DOI
-
10.1515/dema-2016-0033
- URN
-
urn:nbn:de:101:1-2411181449586.366326086980
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:28 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Miri, Sofiane El-Hadi
Other Objects (12)
Dynamics of the Painlevé-Ince Equation
Numerical Study of Second Painleve Equation
Hypergeometric Solutions to an Ultradiscrete Painlevé Equation
Numerical solution of Painlevé II differential equation
Some results of ϖ-Painlevé difference equation
Is My ODE a Painlevé Equation in Disguise?
On the Transformations of the Sixth Painlevé Equation
Hard Loss of Stability in Painlevé-2 Equation
Numerical solution of Painleve' equation by Chebyshev polynomials
Discrete Painlevé equation, Miwa variables and string equation in 5d matrix models
Multiple end solutions of the generalized second Painlevè equation
Painleve Analysis and Symmetries of the Hirota—Satsuma Equation
Dynamics of the Painlevé-Ince Equation
Numerical Study of Second Painleve Equation
Hypergeometric Solutions to an Ultradiscrete Painlevé Equation
Numerical solution of Painlevé II differential equation
Some results of ϖ-Painlevé difference equation
Is My ODE a Painlevé Equation in Disguise?
On the Transformations of the Sixth Painlevé Equation
Hard Loss of Stability in Painlevé-2 Equation
Numerical solution of Painleve' equation by Chebyshev polynomials
Discrete Painlevé equation, Miwa variables and string equation in 5d matrix models
Multiple end solutions of the generalized second Painlevè equation
Painleve Analysis and Symmetries of the Hirota—Satsuma Equation
Dynamics of the Painlevé-Ince Equation
Numerical Study of Second Painleve Equation
Hypergeometric Solutions to an Ultradiscrete Painlevé Equation
Numerical solution of Painlevé II differential equation
Some results of ϖ-Painlevé difference equation
Is My ODE a Painlevé Equation in Disguise?
On the Transformations of the Sixth Painlevé Equation
Hard Loss of Stability in Painlevé-2 Equation
Numerical solution of Painleve' equation by Chebyshev polynomials
Discrete Painlevé equation, Miwa variables and string equation in 5d matrix models
Multiple end solutions of the generalized second Painlevè equation