Painlevé differential equations in the complex plane /

A comprehensive treatment of Painleve differential equations in the complex plane. Starting with a presentation for the meromorphic nature of their solutions, the Nevanlinna theory is applied to offer an exposition of growth aspects and value distribution of Painleve transcendents.

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Gromak, V. I. (Valeriĭ Ivanovich)
Autres auteurs: Laine, Ilpo, Shimomura, Shun
Format: Électronique eBook
Langue:Alemán
Publié: Berlin ; New York : Walter de Gruyter, ©2002.
Collection:De Gruyter studies in mathematics ; 28.
Sujets:
Painlevé equations.
Functions of complex variables.
Équations de Painlevé.
Fonctions d'une variable complexe.
MATHEMATICS > Differential Equations > Ordinary.
Functions of complex variables
Painlevé equations
Complexe variabelen.
Painlevé-vergelijkingen.
Accès en ligne:Texto completo
Table des matières:
  • De Gruyter Studies in Mathematics; Preface; Contents; Introduction; Chapter 1Meromorphic nature of solutions; Chapter 2Growth of Painlevé transcendents; Chapter 3Value distribution of Painlevé transcendents; Chapter 4The first Painlevé equation (P1); Chapter 5The second Painlevé equation (P2); Chapter 6The fourth Painlevé equation (P4); Chapter 7The third Painlevé equation (P3); Chapter 8The fifth Painlevé equation (P5); Chapter 9The sixth Painlevé equation (P6); Chapter 10Applications of Painlevé equations.

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