Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:software
|
| gptkbp:application |
gptkb:quantum_gravity
gptkb:statistical_mechanics nonlinear differential equations random matrix theory |
| gptkbp:family |
Painlevé I
Painlevé II Painlevé III Painlevé IV Painlevé V Painlevé VI |
| gptkbp:firstDescribed |
early 20th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Painlevé transcendents
|
| gptkbp:namedAfter |
gptkb:Paul_Painlevé
|
| gptkbp:numberOfFamilies |
six
|
| gptkbp:originatedIn |
gptkb:Painlevé_equations
|
| gptkbp:property |
transcendental functions
have no movable singularities other than poles solutions are not expressible in terms of elementary functions |
| gptkbp:relatedTo |
monodromy
isomonodromic deformations special solutions of nonlinear ODEs |
| gptkbp:studiedIn |
complex analysis
integrable systems mathematical physics |
| gptkbp:bfsParent |
gptkb:Painlevé_VI_equation
|
| gptkbp:bfsLayer |
7
|