In this paper we introduce a new class L p, Σ λ , (ϕα) of λ-pseudo bi-starlike functions in parabolic domain and determine the bounds for |a 2 | and |a 3 | where a 2 , a 3 are the initial Taylor coefficients of f ∈ L p λ Σ (ϕ α ) Furthermore, we estimate the Fekete-Szegö functional for L pΣ λ , (ϕ α ). © 2019 Kyungnam University Press.