International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 1, Pages 55-70
doi:10.1155/S0161171288000109

New classification of analytic functions with negative coefficients

Shigeyoshi Owa1 and Milutin Obradović2

1Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577, Japan
 2Department of Mathematics, Faculty of Technology and Metallurgy, 4 Karnegieva Street, Belgrade 11000, Yugoslavia

Abstract

New classification of analytic functions with negative coefficients is given by using the coefficients inequality, that is, new subclass A(p,n,Bk) of analytic functions with negative coefficient is defined. The object of the present paper is to prove various distortion theorems for functions in A(p,n,Bk), and for fractional calculus of functions belonging to A(p,n,Bk). Further, some properties of the class A(p,n,Bk) are shown.