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) + λz2f00(z)(1 − λ)f(z) + λzf0(z) and zg0(z) + λz2g00(z)(1 − λ)g(z) + λzg0(z)(0 ≤ λ ≤ 1) are both subordinate to an analytic function in parabolic region. Furthermore, we estimate the Fekete-Szegö functional for f ∈ PΣ,P (λ, ϕα).