Univalence for convolutions

Herb Silverman

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-3

Abstract:

The radius of univalence is found for the convolution f ∗ g of functions f ∈ S (normalized univalent functions) and g ∈ C (close-to-convex functions). A lower bound for the radius of univalence is also determined when f and g range over all of S . Finally, a characterization of C provides an inclusion relationship.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:608929

DOI: 10.1155/S0161171296000294

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