International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 4, Pages 725-732
doi:10.1155/S0161171287000826
Generalization of certain subclasses of analytic functions
Tadayuki Sekine
Department of Mathemetics Science and Technology, Nihon University, 1-8 Kanda Surugadai, Chiyoda-ku, Tokyo 101, Japan
Abstract
We introduce the subclass Tj(n,m,α) of analytic functions with negative coefficients by the operator Dn. Coefficient inequalities and distortion theorems of functions in Tj(n,m,α) are determind. Further, distortion theorems for fractional calculus of functions in Tj(n,m,α) are obtained.