Analytic functions
Rolf Nevanlinna ; translated from the 2nd German ed. by Phillip Emig.
Berlin : Springer-Verlag, 1970.
viii, 373 págs. : ilustraciones ; 24 cm.
Serie: Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ; Bd. 162
Traducción revisada de: Eindeutige analytische Funktionen. 2nd ed. 1953.
Bibliografía: p. [355]-365.
Reseña: MathSciNet, 43 #5003
Contenido
- (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.