Geodesic
A Variational Technique for Bounded Starlike Functions
Canadian journal of mathematics, Tome 27 (1975) no. 2, pp. 337-347

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

Let KM = {z : \z\ < M}, 1 ≦ M < ∞ and K = K1. Let S denote the collection of functions f(z) = z + a2z2 + a3s3 + ... that are regular and univalent in K. We write, for 1 < M < ∞, S(M) = {f : f ∞ S, f (K) ⊂ KM }, S*(M) = {f : f ∞ S(M), f(K) is starlike with respect to the origin}.In this paper we develop a variational technique for slit domains and give some applications with respect to finding the and the for any nonconstant entire function ɸ(w) and a given z ∊ K. 
Barnard, R. W. A Variational Technique for Bounded Starlike Functions. Canadian journal of mathematics, Tome 27 (1975) no. 2, pp. 337-347. doi: 10.4153/CJM-1975-041-x
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