STARLIKENESS AND CONVEXITY OF CAUCHY TRANSFORMS ON REGULAR POLYGONS

DOI10.1017/S0004972720000696zbMath1462.30068OpenAlexW3091843749MaRDI QIDQ5857596

Peng-Fei Zhang, Xin-Han Dong

Publication date: 1 April 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720000696

zbMATH Keywords

convexityunivalencestar-likenessCauchy transform of the two-dimensional Lebesgue measure on polygons

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Cites Work

• Unnamed Item
• Cauchy transforms of self-similar measures: The Laurent coefficients
• Cantor boundary behavior of analytic functions
• The starlikeness of Cauchy transform on square
• A note on Cantor boundary behavior
• Analytic capacity and measure
• The Cauchy Transform, Potential Theory and Conformal Mapping
• Cauchy transforms of self-similar measures: Starlikeness and univalence
• Cantor Boundary Behavior of Analytic Functions
• Cauchy Transforms of Self-Similar Measures
• An Integral Related to the Cauchy Transform on the Sierpinski Gasket
• Starlikeness and convexity of Cauchy transform on equilateral triangle
• The Schwarzian derivative and schlicht functions
• Remarks on a paper by Zeev Nehari
• Some Criteria of Univalence
• Linear integral equations

This page was built for publication: STARLIKENESS AND CONVEXITY OF CAUCHY TRANSFORMS ON REGULAR POLYGONS