Function theory. An introduction

zbMath1250.30001MaRDI QIDQ5907068

Klaus Jänich

Publication date: 17 March 2004

Published in: Springer-Lehrbuch (Search for Journal in Brave)

zbMATH Keywords

Cauchyscher IntegralsatzResiduensatzanalytische FortsetzungCauchysche Integralformelholomorphe Funktionisolierte SingularitätRiemannscher AbbildungssatzSatz von Mittag-LefflerSatz von WeierstraßUmlaufzahl

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Power series (including lacunary series) in one complex variable (30B10) Approximation in the complex plane (30E10) Entire functions of one complex variable (general theory) (30D20) Representations of entire functions of one complex variable by series and integrals (30D10) Inequalities in the complex plane (30A10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01) Analytic continuation of functions of one complex variable (30B40)

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