For -1 ? B ? 1 and A > B, let S*[A,B] denote the class of generalized
Janowski starlike functions consisting of all normalized analytic functions
f defined by the subordination z f'(z)/f(z)< (1+Az)/(1+Bz) (?z?<1).
For -1 ? B ? 1 < A, we investigate the inverse coefficient problem for
functions in the class S*[A,B] and its meromorphic counter part. Also, for
-1 ? B ? 1 < A, the sharp bounds for first five coefficients for inverse
functions of generalized Janowski convex functions are determined. A simple
and precise proof for inverse coefficient estimations for generalized Janowski
convex functions is provided for the case A = 2?-1(?>1) and B = 1. As
an application, for F:= f-1, A = 2?-1 (?>1) and B = 1, the sharp
coefficient bounds of F/F' are obtained when f is a generalized Janowski
starlike or generalized Janowski convex function. Further, we provide the
sharp coefficient estimates for inverse functions of normalized analytic
functions f satisfying f'(z)< (1+z)/(1+Bz) (?z? < 1, -1 ? B < 1).
On close-to-convex functions of complex order
