International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 649-654
doi:10.1155/S016117129922649X

Some applications of a differential subordination

Yong Chan Kim1 and H.M. Srivastava2

1Department of Mathematics, College of Education, Yeungnam University, 214-1 Daedong, Gyongsan 712-749, Korea
2Department of Mathematics and Statistics, University of Victoria, British Columbia, Victoria V8W 3P4, Canada

Abstract

A number of interesting criteria were given by earlier workers for a normalized analytic function to be in the familiar class 𝔖* of starlike functions. The main object of the present paper is to extend and improve each of these earlier results. An application associated with an integral operator 𝔉c(c>1) is also considered.