International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 1, Pages 75-79
Convex and starlike criteria
Department of Mathematics, University of Charleston, Charleston 29424, SC, USA
Received 30 April 1997
Copyright © 1999 Herb Silverman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.