A Distortion Theorem for Analytic Functions

DOI10.2307/2038009zbMath0222.30022OpenAlexW4245192430MaRDI QIDQ5626986

Malcolm S. Robertson

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2038009

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items

On a Criterion for the Univalence of Holomorphic Functions, Sufficient conditions for the finite-valence of analytic functions and their applications, Über holomorphe Funktionen, die einer Wachstumsbeschränkung unterliegen, On some criteria for the univalence of analytic functions, Rotations of the range of an analytic function, On the derivative of some analytic functions

Cites Work

• The close-to-convexity and univalence of an integral
• On the univalency and multivalency of certain analytic functions
• Singular measures and domains not of Smirnov type
• The Schwarzian derivative and schlicht functions