ON λ-PSEUDO BI-STARLIKE FUNCTIONS IN PARABOLIC DOMAIN

Abstract

In this paper we introduce a new class L^λ_{p,Σ}(φ_α) 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_λ_{p,Σ}(φ_α). Furthermore, we estimate the Fekete-Szego ̈ functional for L^λ_{p,Σ}(φ_α).