On arclength problem for analytic functions

DOI10.1007/s13324-023-00806-wzbMath1515.30043OpenAlexW4381996204MaRDI QIDQ6041376

Małgorzata Chudziak, Mamoru Nunokawa, Janusz Sokół, Edyta Trybucka

Publication date: 26 May 2023

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-023-00806-w

zbMATH Keywords

analytic functionsstar-like functionslength problem

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)

Cites Work

• On some length problems for analytic functions
• Length problems for Bazilevič functions
• Über nahezu konvexe analytische Funktionen
• On some length problems for univalent functions
• The Asymptotic Behaviour of p -Valent Functions
• Some Theorems on Conformal Mapping of Bounded Star-Shaped Domains
• On a length problem for close-to-convex functions
• An Arclength Problem for Close-to-Convex Functions
• On Starlike and Close-to-Convex Univalent Functions
• A Note on Starlike Functions
• On Bazilevic and Convex Functions
• A Note on Convex and Bazilevic Functions
• On the Radius of Curvature for Convex Analytic Functions
• On Functions with Positive Real Part

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