Analytic functions / Rolf Nevanlinna ; translated from the 2nd German ed. by Phillip Emig.

Por: Nevanlinna, Rolf Herman, 1895-Idioma: Inglés Lenguaje original: Alemán Series Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ; Bd. 162Editor: Berlin : Springer-Verlag, 1970Descripción: viii, 373 p. : il. ; 24 cmTítulos uniformes: Eindeutige analytische Funktionen. Inglés Otra clasificación: 30-02
Contenidos:
(I) Conformal mapping of simply and multiply connected domains; (II) Solution of the Dirichlet problem for a schlicht region; (III) Function-theoretic majorant principles; (IV) Relationships between non-Euclidean and Euclidean metrics; (V) Sets of harmonic measure zero; (VI) First main theorem in the theory of meromorphic functions; (VII) Functions of bounded characteristic; (VIII) Meromorphic functions of finite order; (IX) Second main theorem in the theory of meromorphic functions; (X) Application of the second main theorem; (XI) The Riemann surface of a single-valued function; (XII) The type of a Riemann surface; (XIII) Ahlfors' theory of covering surfaces.
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Traducción revisada de: Eindeutige analytische Funktionen. 2nd ed. 1953.

Bibliografía: p. [355]-365.

(I) Conformal mapping of simply and multiply connected domains; (II) Solution of the Dirichlet problem for a schlicht region; (III) Function-theoretic majorant principles; (IV) Relationships between non-Euclidean and Euclidean metrics; (V) Sets of harmonic measure zero; (VI) First main theorem in the theory of meromorphic functions; (VII) Functions of bounded characteristic; (VIII) Meromorphic functions of finite order; (IX) Second main theorem in the theory of meromorphic functions; (X) Application of the second main theorem; (XI) The Riemann surface of a single-valued function; (XII) The type of a Riemann surface; (XIII) Ahlfors' theory of covering surfaces.

MR, 43 #5003

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