The radii of starlikeness and convexity of certain Nevanlinna analytic functions

Reade, Maxwell O.; Todorov, Pavel G.

doi:10.1090/S0002-9939-1981-0624916-4

The radii of starlikeness and convexity of certain Nevanlinna analytic functions
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by Maxwell O. Reade and Pavel G. Todorov PDF

Proc. Amer. Math. Soc. 83 (1981), 289-295 Request permission

Abstract:

We determine the radius of starlikeness and the radius of convexity of analytic functions having the forms $\smallint _{ - 1}^1d\mu (t)/(z - t)$ and $\smallint _{ - 1}^1zd\mu (t)/(1 - tz)$ where $\mu (t)$ is a probability measure.

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