International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 1, Pages 75-79
doi:10.1155/S0161171299220753

Convex and starlike criteria

Herb Silverman

Department of Mathematics, University of Charleston, Charleston 29424, SC, USA

Abstract

We investigate an expression involving the quotient of the analytic representations of convex and starlike functions. Sufficient conditions are found for functions to be starlike of a positive order and convex.