On the Fourier series of a finitely described convex curve and a conjecture of H. S. Shapiro

DOI10.1017/S0305004100063714zbMath0602.30023OpenAlexW2104167919WikidataQ123137369 ScholiaQ123137369MaRDI QIDQ3737728

T. Sheil-Small

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100063714

zbMATH Keywords

Fourier expansionclose-to-convex functions

Mathematics Subject Classification ID

General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (3)

Complex geodesics in tube domains and their role in the study of harmonic mappings in the disc ⋮ A note on the valency of harmonic maps ⋮ Valancy of harmonic mappings onto bounded convex domains

Cites Work

• Coefficients and Integral Means of Some Classes of Analytic Functions
• On a Conjecture of Shapiro about Trigonometric Series
• Multivalent Linearly Accessible Functions and Close-to-Convex Functions
• Research Problems in Complex Analysis
• Harmonic univalent functions
• Close-to-Convex Multivalent Functions with Respect to Weakly Starlike Functions

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