| 书目名称 | Nevanlinna Theory, Normal Families, and Algebraic Differential Equations | | 编辑 | Norbert Steinmetz | | 视频video | | | 概述 | Provides a self-contained introduction to Nevanlinna theory and normal families.Collects recent results on first-order and Painlevé differential equations, and 2D Hamiltonian systems.Presents applicat | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | 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 top | | 出版日期 | Textbook 2017 | | 关键词 | Nevanlinna theory; applications of Nevanlinna theory; uniqueness theorem complex analysis; Yosida Class | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-59800-0 | | isbn_softcover | 978-3-319-59799-7 | | isbn_ebook | 978-3-319-59800-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer International Publishing AG 2017 |
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书目名称Nevanlinna Theory, Normal Families, and Algebraic Differential Equations影响因子(影响力)
书目名称Nevanlinna Theory, Normal Families, and Algebraic Differential Equations影响因子(影响力)学科排名
书目名称Nevanlinna Theory, Normal Families, and Algebraic Differential Equations网络公开度
书目名称Nevanlinna Theory, Normal Families, and Algebraic Differential Equations网络公开度学科排名
书目名称Nevanlinna Theory, Normal Families, and Algebraic Differential Equations被引频次
书目名称Nevanlinna Theory, Normal Families, and Algebraic Differential Equations被引频次学科排名
书目名称Nevanlinna Theory, Normal Families, and Algebraic Differential Equations年度引用
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书目名称Nevanlinna Theory, Normal Families, and Algebraic Differential Equations读者反馈
书目名称Nevanlinna Theory, Normal Families, and Algebraic Differential Equations读者反馈学科排名
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发表于 2025-3-21 18:18:46
