A class of regular functions containing spirallike and close-to-convex functions

Ziegler, M. R.

doi:10.1090/S0002-9947-1972-0291436-8

A class of regular functions containing spirallike and close-to-convex functions
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Trans. Amer. Math. Soc. 166 (1972), 59-70 Request permission

Abstract:

A class of functions $\mathcal {A}$ is defined which contains the spirallike and close-to-convex functions. By decomposing $\mathcal {A}$ into subclasses in a natural way, some basic properties of $\mathcal {A}$ and these subclasses are determined, including solutions to extremal problems; distortion theorems; coefficient inequalities; and the radii of convexity and close-to-convexity.

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