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

By: Gromak, V. I. (Valeri�i Ivanovich)Contributor(s): Laine, Ilpo | Shimomura, ShunMaterial type: Text

TextSeries: De Gruyter studies in mathematics ; 28.Publication details: Berlin ; New York : Walter de Gruyter, c2002Description: 1 online resource (viii, 303 p.) : illISBN: 3110198096; 9783110198096Subject(s): Painlev�e equations | Functions of complex variables | Painlev�e, �Equations de | Fonctions d'une variable complexe | MATHEMATICS -- Differential Equations -- Ordinary | Complexe variabelen | Painlev�e-vergelijkingenGenre/Form: Electronic books.Additional physical formats: Print version:: Painlev�e differential equations in the complex plane.DDC classification: 515/.352 LOC classification: QA372 | .G775 2002ebOnline resources: EBSCOhost

Contents:

De Gruyter Studies in Mathematics; Preface; Contents; Introduction; Chapter 1Meromorphic nature of solutions; Chapter 2Growth of Painlev�e transcendents; Chapter 3Value distribution of Painlev�e transcendents; Chapter 4The first Painlev�e equation (P1); Chapter 5The second Painlev�e equation (P2); Chapter 6The fourth Painlev�e equation (P4); Chapter 7The third Painlev�e equation (P3); Chapter 8The fifth Painlev�e equation (P5); Chapter 9The sixth Painlev�e equation (P6); Chapter 10Applications of Painlev�e equations

Summary: 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.

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Includes bibliographical references (p. [283]-299) and index.

Description based on print version record.

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.

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