Nevanlinna Theory, Normal Families, and Algebraic Differential Equations / / by Norbert Steinmetz
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| Autore: |
Steinmetz Norbert
|
| Titolo: |
Nevanlinna Theory, Normal Families, and Algebraic Differential Equations / / by Norbert Steinmetz
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Edizione: | 1st ed. 2017. |
| Descrizione fisica: | 1 online resource (XVIII, 235 p. 8 illus.) |
| Disciplina: | 515 |
| Soggetto topico: | Functions of complex variables |
| Differential equations | |
| Difference equations | |
| Functional equations | |
| Functions of a Complex Variable | |
| Ordinary Differential Equations | |
| Difference and Functional Equations | |
| Nota di contenuto: | Introduction and preface -- Selected Topics in Complex Analysis -- Nevanlinna Theory -- Selected Applications of Nevanlinna Theory -- Normal Families -- Algebraic Differential Equations -- Higher-Order Algebraic Differential Equations -- Index. |
| Sommario/riassunto: | This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations. Following a comprehensive treatment of Nevanlinna’s theory of value distribution, the author presents advances made since Hayman’s work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot–Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman–Pang method of re-scaling to algebraic differential equations, and presents the Painlevé–Yosida theorem, which relates Painlevé transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions. Aimed at graduate students interested in recent developments in the field and researchers working on related problems,Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader. |
| Titolo autorizzato: | Nevanlinna Theory, Normal Families, and Algebraic Differential Equations |
| ISBN: | 3-319-59800-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910254276603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Universitext, . 0172-5939