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Univalent α-Spiral Functions
Richard J. Libera
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Source: Crossref
Published: Jan 1, 1967
DOI: 10.4153/cjm-1967-038-0
Open original source ↗Source abstract
Suppose ƒ is regular in the open unit disk Δ, |z| < 1, and has a simple zero at the origin and no other zeros. Špaček (15) essentially showed that ƒ is univalent in Δ if and only if such that 0 < r < 1 and 0 < t 2 — t 1 ⩽ 2π.
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