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• Painlevé_transcendents abstract "In mathematics, Painlevé transcendents are solutions to certain nonlinear second-order ordinary differential equations in the complex plane with the Painlevé property (the only movable singularities are poles), but which are not generally solvable in terms of elementary functions. They were discovered byEmile Picard (1889),Paul Painlevé (1900, 1902),Richard Fuchs (1906), andBertrand Gambier (1910).".
• Painlevé_transcendents thumbnail PainleveTypeI.svg?width=300.
• Painlevé_transcendents wikiPageExternalLink dlmf.nist.gov.
• Painlevé_transcendents wikiPageExternalLink 32.
• Painlevé_transcendents wikiPageExternalLink painleve.html.
• Painlevé_transcendents wikiPageExternalLink p0.html.
• Painlevé_transcendents wikiPageID "2033003".
• Painlevé_transcendents wikiPageLength "16965".
• Painlevé_transcendents wikiPageOutDegree "45".
• Painlevé_transcendents wikiPageRevisionID "704018364".
• Painlevé_transcendents wikiPageWikiLink Airy_function.
• Painlevé_transcendents wikiPageWikiLink American_Mathematical_Society.
• Painlevé_transcendents wikiPageWikiLink Asymmetric_simple_exclusion_process.
• Painlevé_transcendents wikiPageWikiLink Bessel_function.
• Painlevé_transcendents wikiPageWikiLink Bäcklund_transform.
• Painlevé_transcendents wikiPageWikiLink Cambridge_University_Press.
• Painlevé_transcendents wikiPageWikiLink Cartan_subalgebra.
• Painlevé_transcendents wikiPageWikiLink Category:Ordinary_differential_equations.
• Painlevé_transcendents wikiPageWikiLink Category:Special_functions.
• Painlevé_transcendents wikiPageWikiLink Complex_differential_equation.
• Painlevé_transcendents wikiPageWikiLink Confluent_hypergeometric_function.
• Painlevé_transcendents wikiPageWikiLink Coxeter_group.
• Painlevé_transcendents wikiPageWikiLink Donaldson_theory.
• Painlevé_transcendents wikiPageWikiLink Elementary_function.
• Painlevé_transcendents wikiPageWikiLink Elliptic_function.
• Painlevé_transcendents wikiPageWikiLink Hamiltonian_system.
• Painlevé_transcendents wikiPageWikiLink Hypergeometric_function.
• Painlevé_transcendents wikiPageWikiLink Infinite_dihedral_group.
• Painlevé_transcendents wikiPageWikiLink Ising_model.
• Painlevé_transcendents wikiPageWikiLink Isomonodromic_deformation.
• Painlevé_transcendents wikiPageWikiLink Lazarus_Fuchs.
• Painlevé_transcendents wikiPageWikiLink Monodromy.
• Painlevé_transcendents wikiPageWikiLink Movable_singularity.
• Painlevé_transcendents wikiPageWikiLink Nonlinear_system.
• Painlevé_transcendents wikiPageWikiLink Ordinary_differential_equation.
• Painlevé_transcendents wikiPageWikiLink Parabolic_cylinder_function.
• Painlevé_transcendents wikiPageWikiLink Partial_differential_equation.
• Painlevé_transcendents wikiPageWikiLink Paul_Painlevé.
• Painlevé_transcendents wikiPageWikiLink Pole_(complex_analysis).
• Painlevé_transcendents wikiPageWikiLink Random_matrix.
• Painlevé_transcendents wikiPageWikiLink Regular_singular_point.
• Painlevé_transcendents wikiPageWikiLink Riccati_equation.
• Painlevé_transcendents wikiPageWikiLink Semisimple_Lie_algebra.
• Painlevé_transcendents wikiPageWikiLink Singularity_(mathematics).
• Painlevé_transcendents wikiPageWikiLink Special_functions.
• Painlevé_transcendents wikiPageWikiLink Springer_Science+Business_Media.
• Painlevé_transcendents wikiPageWikiLink Tracy–Widom_distribution.
• Painlevé_transcendents wikiPageWikiLink Émile_Picard.
• Painlevé_transcendents wikiPageWikiLinkText "Painlevé equations".
• Painlevé_transcendents wikiPageWikiLinkText "Painlevé property".
• Painlevé_transcendents wikiPageWikiLinkText "Painlevé transcendents".
• Painlevé_transcendents wikiPageWikiLinkText "Painlevé transcendents/property".
• Painlevé_transcendents alt "Painlevé transcendent of the first type".
• Painlevé_transcendents alt "Painlevé transcendent of the second type".
• Painlevé_transcendents alt "Painlevé transcendent of the third type".
• Painlevé_transcendents direction "vertical".
• Painlevé_transcendents first "M. J.".
• Painlevé_transcendents first "M.".
• Painlevé_transcendents first "N.Kh.".
• Painlevé_transcendents first "P. A.".
• Painlevé_transcendents id "32".
• Painlevé_transcendents id "P/p071080".
• Painlevé_transcendents id "p/p110040".
• Painlevé_transcendents image "PainleveTypeI.svg".
• Painlevé_transcendents image "PainleveTypeII.svg".
• Painlevé_transcendents image "PainleveTypeIII.svg".
• Painlevé_transcendents isbn "978".
• Painlevé_transcendents last "Ablowitz".
• Painlevé_transcendents last "Boutroux".
• Painlevé_transcendents last "Clarkson".
• Painlevé_transcendents last "Rozov".
• Painlevé_transcendents mr "1149378".
• Painlevé_transcendents publisher Cambridge_University_Press.
• Painlevé_transcendents series "London Mathematical Society Lecture Note Series".
• Painlevé_transcendents title "Painleve Property".
• Painlevé_transcendents title "Painleve Transcendents".
• Painlevé_transcendents title "Painlevé equation".
• Painlevé_transcendents title "Painlevé-type equations".
• Painlevé_transcendents title "Solitons, nonlinear evolution equations and inverse scattering".
• Painlevé_transcendents urlname "PainleveProperty".
• Painlevé_transcendents urlname "PainleveTranscendents".
• Painlevé_transcendents volume "149".
• Painlevé_transcendents width "240".
• Painlevé_transcendents wikiPageUsesTemplate Template:Citation.
• Painlevé_transcendents wikiPageUsesTemplate Template:Dlmf.
• Painlevé_transcendents wikiPageUsesTemplate Template:Harv.
• Painlevé_transcendents wikiPageUsesTemplate Template:Harvs.
• Painlevé_transcendents wikiPageUsesTemplate Template:Harvtxt.
• Painlevé_transcendents wikiPageUsesTemplate Template:Mathworld.
• Painlevé_transcendents wikiPageUsesTemplate Template:Multiple_image.
• Painlevé_transcendents wikiPageUsesTemplate Template:Springer.
• Painlevé_transcendents wikiPageUsesTemplate Template:Unordered_list.
• Painlevé_transcendents year "1913".
• Painlevé_transcendents year "1914".
• Painlevé_transcendents year "1991".
• Painlevé_transcendents subject Category:Ordinary_differential_equations.
• Painlevé_transcendents subject Category:Special_functions.
• Painlevé_transcendents hypernym Solutions.
• Painlevé_transcendents type Company.
• Painlevé_transcendents type Type.

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