Behavior of Coefficients of Inverses of α-Spiral Functions
Canadian journal of mathematics, Tome 38 (1986) no. 6, pp. 1329-1337

Voir la notice de l'article provenant de la source Cambridge University Press

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 .
Libera, Richard J.; Złotkiewicz, Eligiusz J. Behavior of Coefficients of Inverses of α-Spiral Functions. Canadian journal of mathematics, Tome 38 (1986) no. 6, pp. 1329-1337. doi: 10.4153/CJM-1986-067-6
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