International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 952036, 10 pages
doi:10.1155/2010/952036

On differential subordinations of multivalent functions involving a certain fractional derivative operator

Jae Ho Choi

Department of Mathematics Education, Daegu National University of Education, 1797-6 Daemyong 2 dong, Namgu, Daegu 705-715, South Korea

Abstract

We investigate several results concerning the differential subordination of analytic and multivalent functions which is defined by using a certain fractional derivative operator. Some special cases are also considered.