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Painlevé differential equations in the complex plane [[electronic resource] /] / Valerii I. Gromak, Ilpo Laine, Shun Shimomura



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Autore: Gromak V. I (Valeriĭ Ivanovich) Visualizza persona
Titolo: Painlevé differential equations in the complex plane [[electronic resource] /] / Valerii I. Gromak, Ilpo Laine, Shun Shimomura Visualizza cluster
Pubblicazione: Berlin ; ; New York, : Walter de Gruyter, c2002
Edizione: Reprint 2013
Descrizione fisica: 1 online resource (312 p.)
Disciplina: 515/.352
Soggetto topico: Painlevé equations
Functions of complex variables
Classificazione: SK 520
Altri autori: LaineIlpo  
ShimomuraShun  
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references (p. [283]-299) and index.
Nota di contenuto: Frontmatter -- Contents -- Chapter 1. Meromorphic nature of solutions -- Chapter 2. Growth of Painlevé transcendents -- Chapter 3. Value distribution of Painlevé transcendents -- Chapter 4. The first Painlevé equation (P1) -- Chapter 5. The second Painlevé equation (P2) -- Chapter 6. The fourth Painlevé equation (P4) -- Chapter 7. The third Painlevé equation (P3) -- Chapter 8. The fifth Painlevé equation (P5) -- Chapter 9. The sixth Painlevé equation (P6) -- Chapter 10. Applications of Painlevé equations -- Appendix A. Local existence and uniqueness of solutions of complex differential equations -- Appendix B. Basic notations and facts in the Nevanlinna theory -- Backmatter
Sommario/riassunto: This book is the first comprehensive treatment of Painlevé differential equations in the complex plane. Starting with a rigorous presentation for the meromorphic nature of their solutions, the Nevanlinna theory will be applied to offer a detailed exposition of growth aspects and value distribution of Painlevé transcendents. The subsequent main part of the book is devoted to topics of classical background such as representations and expansions of solutions, solutions of special type like rational and special transcendental solutions, Bäcklund transformations and higher order analogues, treated
Titolo autorizzato: Painlevé differential equations in the complex plane  Visualizza cluster
ISBN: 1-282-19434-8
9786612194344
3-11-019809-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910782523403321
Lo trovi qui: Univ. Federico II
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Serie: Gruyter studies in mathematics ; ; 28.