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Behavior of Coefficients of Inverses of α-Spiral Functions
Published online by Cambridge University Press: 20 November 2018
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If f(z) is univalent (regular and one-to-one) in the open unit disk Δ, Δ = {z ∊ C:│z│ < 1}, and has a Maclaurin series expansion of the form
(1.1)
then, as de Branges has shown, │ak│ = k, for k = 2, 3, … and the Koebe function.
(1.1)
serves to show that these bounds are the best ones possible (see [3]). The functions defined above are generally said to constitute the class .
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- Copyright © Canadian Mathematical Society 1986
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