On a Subclass of Tilted Starlike Functions with Respect to Conjugate Points

Abstract

We define Sc   , , A,B *   be the class of functions which are analytic and univalent in an open unit disc, E  z : z  1 of the form   n n n n n f z z a z a z a z z a z           2 3 3 2 2   and normalized with f   0  0 and f '  0 1  0 and satisfy     , 1 1 1 sin Bz Az t i g z zf z ei                   1  B  A  1, z  E where       , 2 f z f z g z   cos  , t   cos     0, 0    1 and 2    . The aim of this paper is to obtain the upper and lower bounds of   g z zf  z Re and   g z zf  z Im for this class of functions.