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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.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gromak, V. I. (Valeriĭ Ivanovich)
Otros Autores: Laine, Ilpo, Shimomura, Shun
Formato: Electrónico eBook
Idioma:Alemán
Publicado: Berlin ; New York : Walter de Gruyter, ©2002.
Colección:De Gruyter studies in mathematics ; 28.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.