Certain subclass of Pascu-type bi-starlike functions in parabolic domain

Abstract

Estimates on the coefficients |a2| and |a3| are obtained for normalized analytic function f in the open disk with f and its inverse g = f?1 satisfy the condition that zf0(z) + ?z2f00(z)(1 ? ?)f(z) + ?zf0(z) and zg0(z) + ?z2g00(z)(1 ? ?)g(z) + ?zg0(z)(0 ? ? ? 1) are both subordinate to an analytic function in parabolic region. Furthermore, we estimate the Fekete-Szegö functional for f ? P?,P (?, ??).