Starlikeness and convexity of Cauchy transform on equilateral triangle

DOI10.1080/17476933.2019.1671832zbMath1462.30042OpenAlexW2978038965MaRDI QIDQ4965943

Peng-Fei Zhang, Xin-Han Dong

Publication date: 18 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1671832

zbMATH Keywords

convexityunivalenceCauchy transformequilateral trianglestar-likeness

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)

Related Items (1)

STARLIKENESS AND CONVEXITY OF CAUCHY TRANSFORMS ON REGULAR POLYGONS

Cites Work

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• Radii of starlikeness and convexity for special classes of analytic functions
• Radii of starlikeness and convexity for certain classes of analytic functions
• Cauchy transforms of self-similar measures: The Laurent coefficients
• Cantor boundary behavior of analytic functions
• On Booth lemniscate and starlike functions
• The starlikeness of Cauchy transform on square
• Cauchy transforms of self-similar measures: Starlikeness and univalence
• Cantor Boundary Behavior of Analytic Functions
• The Radius of Convexity for Starlike Functions of Order 1/2
• Cauchy Transforms of Self-Similar Measures
• On the theory of univalent functions

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