Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2005; 42(3): 623-629

Printed September 1, 2005

Copyright © The Korean Mathematical Society.

Inclusion relations for $k$-uniformly starlike and related functions under certain integral operators

Rasoul Aghalary and Jay M. Jahangiri

University of Urmia, Kent State University

Abstract

Inclusion relations under certain integral operators are proved for $k$-uniformly starlike functions. These results are also extended to $k$-uniformly convex, close-to-convex, and quasi-convex functions.

Keywords: starlike, convex, integral operators

MSC numbers: Primary 30C45; Secondary 30C50