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==英語== {{wikipedia|Holomorphic function|lang=en}} ===詞源=== {{confix|en|holo|morphic}} ===形容詞=== {{en-adj|-}} # {{lb|en|複變分析}} [[全純]]的 #* '''1998''', Stefan-M. Heinemann, ''Julia Sets in C<sup>n</sup>'', Hartje Kriete, ''Progress in '''Holomorphic''' Dynamics'', {{w|lang=en|Addison Wesley Longman}}, [https://books.google.com.au/books?id=HwqjxJOLLOoC&pg=PA159&dq=%22holomorphic%22&hl=en&sa=X&ved=0ahUKEwjs0LjozrXWAhWk5lQKHVUlD_oQ6AEIrAEwFw#v=onepage&q=%22holomorphic%22&f=false page 159], #*: The iteration of '''holomorphic''' maps of one variable is one of the most lively fields of current mathematical research. Since its beginning in the twenties of this century, the theory of '''holomorphic''' endomorphisms of the Riemann sphere (= rational functions) has become well developed. #* '''1998''', Robert Friedman, ''Algebraic Surfaces and '''Holomorphic''' Vector Bundles'', Springer, [https://books.google.com.au/books?id=_zqxhJSFO1AC&pg=PA303&dq=%22holomorphic%22&hl=en&sa=X&ved=0ahUKEwjs0LjozrXWAhWk5lQKHVUlD_oQ6AEItwEwGQ#v=onepage&q=%22holomorphic%22&f=false page 303], #*: A '''holomorphic''' 1-form on ''X'' is closed, and so #*:: <math>0 = d\eta_1 = df \and\eta_2</math>. #* '''2010''', Graziano Gentili, Jacques Guenot, Giorgio Patrizio, ''Holomorphic Dynamical Systems: Lectures given at the C.I.M.E. Summer School'', Springer, [https://books.google.com.au/books?id=M9vorlpkXckC&pg=PR5&dq=%22holomorphic%22&hl=en&sa=X&ved=0ahUKEwjs0LjozrXWAhWk5lQKHVUlD_oQ6AEIywEwHQ#v=onepage&q=%22holomorphic%22&f=false page v], #*: The theory of '''holomorphic''' dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A '''holomorphic''' dynamical system is the datum of a complex variety and a '''holomorphic''' object (such as a self-map or a vector field) acting on it. # 全[[對稱]]的 ====派生詞彙==== {{der2|en |antiholomorphic |holomorphically |biholomorphic |holomorphicity |nonholomorphic |hyperholomorphic |triholomorphic |ultraholomorphic |pseudoholomorphic}} ====翻譯==== {{trans-top|of a complex function}} * 捷克語:{{t|cs|holomorfní}} * 芬蘭語:{{t|fi|holomorfinen}} * 法語:{{t+|fr|holomorphe}} * 德語:{{t|de|holomorph}} * 匈牙利語:{{t|hu|holomorf}} * 哈薩克語:{{t|kk|голоморфтық}} * 波蘭語:{{t|pl|holomorficzny|m}} {{trans-bottom}}
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