BOUNDS ON THE CURVATURE FOR FUNCTIONS WITH BOUNDED BOUNDARY ROTATION OF ORDER 1-b

ABSTRACT. Let Vk(l-b) k-> 2 and b 0 real, denotes the class of locally univalent n analytic functions f(z) z + X a z in D {z: Izl 1} such thatn=2 n i0f2iRe { + zf’’(z)}Id0 < k z re e D In this note sharp bounds on the curva-o f (z) ture of the image of zl r, 0 r under a mapping f belonging to the class Vk(1-b) have been obtained