Geodesic
Explicit Formulas for the Coefficients of α-Convex Functions, α ≧ 0
Canadian journal of mathematics, Tome 39 (1987) no. 4, pp. 769-783

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

Let the function 1 be analytic in the unit disk Δ = {z│ │z│ ≤ 1), with there, and let α be a real number. Then f(z) is said to be α-convex in Δ if and only if the inequality holds in Δ. The class of α-convex functions was introduced in [8] and was studied in detail in the series [5]–[10], where in particular it is shown that α-convex functions are univalent and starlike for all α (−∞≦ α ≦ + ∞), that is, the inequality holds in Δ. 
Todorov, Pavel G. Explicit Formulas for the Coefficients of α-Convex Functions, α ≧ 0. Canadian journal of mathematics, Tome 39 (1987) no. 4, pp. 769-783. doi: 10.4153/CJM-1987-037-2
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