International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 4, Pages 725-732

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

Received 16 June 1986; Revised 18 September 1986

Copyright © 1987 Tadayuki Sekine. 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 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.