Abstract
The class V-m(b, delta) of locally univalent functionsf satisfying
integral(2 pi)(0) vertical bar Re [1 + 1/b zf"(z)/f'(z)] - delta / (1 - delta) vertical bar d theta <= m pi,
where m >=> 2, delta is an element of [0. 1) and b not equal 0 (complex), is introduced. Some basic properties of this class such as distortion result, arc-length problem, and rate of growth of coefficients are studied. We also investigate the functions in V.(b, S) under certain integral operators and also deal with some radii problems. (C) 2011 Elsevier Ltd. All rights reserved.