International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 1, Pages 201-203
doi:10.1155/S0161171296000294
Univalence for convolutions
Herb Silverman
Department of Mathematics, University of Charleston, Charleston 29424, SC, USA
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.