Completeness of analytic functions and extremality of the coefficients of a Laurent series

DOI10.1007/BF01780975zbMath0425.30002OpenAlexW2026206865MaRDI QIDQ1135388

S. O. Sinanyan

Publication date: 1978

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01780975

zbMATH Keywords

analytic capacityAhlfors capacitycoefficient of a Laurent seriescompleteness of analytic functions

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Capacity and harmonic measure in the complex plane (30C85) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Completeness problems, closure of a system of functions of one complex variable (30B60)

Cites Work

• The connection between extremality of the coefficients of a Laurent series and completeness of the set of analytic functions in the space of continuous functions
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