Complex Analysis

DOI10.1007/978-1-4419-7323-8zbMath1262.30002OpenAlexW4248737196MaRDI QIDQ5894765

Rubí E. Rodríguez, Jane Gilman, Irwin Kra

Publication date: 30 November 2012

Published in: Graduate Texts in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-7323-8

zbMATH Keywords

Dirichlet problemGreen's functionSchwarz lemmadifferential formspower serieshyperbolic geometrywinding numberharmonic functionsintegral representationsHurwitz theoremholomorphic functionshomotopyline integralsRunge theoremCauchy theoremCauchy-Riemann equationssubharmonic functionsresidue theoremcomplex analysisessential singularitiesargument principlesimple connectivityremovable singularitiesfinite Blaschke productsVitali theoremRiemann mapping theoremMontel theoremCasorati-Weierstrass theoremfunctions holomorphic in an annulusLipman BersPerron's principle

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to several complex variables and analytic spaces (32-01)

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