Geodesic
Subclasses of Starlike Functions Subordinate to Convex Functions
Canadian journal of mathematics, Tome 37 (1985) no. 1, pp. 48-61

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Let S denote the class of functions of the form that are analytic and univalent in the unit disk Δ = {z:|z| < 1}, with S*(α) and K(α) designating the subclasses of S that are, respectively, starlike of order a and convex of order α, 0 ≦ α < 1. If f(z) and g(z) are analytic in Δ, we say that f(z) is subordinate to g(z), written f ≺ g, if there exists a Schwarz function w(z), w(0) = 0 and |w(z)| < 1 inΔ, such that f(z) = g(w(z)). A function f(z) = z + ... is said to be in S*[A, B] if (1) and in K[A, B] if (2) 
Silverman, H.; Silvia, E. M. Subclasses of Starlike Functions Subordinate to Convex Functions. Canadian journal of mathematics, Tome 37 (1985) no. 1, pp. 48-61. doi: 10.4153/CJM-1985-004-7
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