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.