Close-to-convex functions associated with a cubic polynomial 1 + z-(z³/3)

In this paper, we introduce a subclass of close-to-convex functions associated with a cubic polynomial 1 + z-( z³ /3) which is a Carath?odary function and related to the nephroid shaped bounded domain. We discuss the growth and distortion theorems and certain coefficient inequalities using the concept of subordination for such functions. We also determine bounds on initial coefficients, inverse coefficients, logarithmic coefficients and logarithmic inverse coefficients. Moreover, we compute bounds of the second order Hankel determinants and Schwarzian derivatives.