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Univalent α-Spiral Functions

Richard J. Libera

Source record

Source: Crossref

Published: Jan 1, 1967

DOI: 10.4153/cjm-1967-038-0

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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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