Year: 1972
Type: article
Abstract: A function f ( z ) = z + Σ n = 2 ∞ a n z n f(z) = z + \Sigma _{n = 2}^\infty {a_n}{z^n} regular in the open unit disk Δ = { z : | z | > 1 } \Delta = \{ z:|z| > 1\} is a (univalent) α \alpha -spiral function for real α , | α | > π / 2 \alpha ,|\alpha | > \pi /2 , if Re { e i α z f ′ ( z ) / f ( z ) } > 0 \operatorname {Re} \{ {e^{i\alpha }}zf’(z)/f(z)\} > 0 for z in Δ \Delta ; in this case we write f ( z ) ∈
Authors: Richard J. Libera, Michael R. Ziegler
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: National Science Foundation
OpenAlex ID: W2011304717