On λ-pseudo bi-starlike functions related to some conic domains

Abstract

In this paper, we introduce a new class ℒ Σ λ (φ) of λ-pseudo bi-starlike functions and determine the bounds for |a2| and |a3| where a2, a3 are the initial Taylor coefficients of f ∈ ℒ Σ λ (φ). Furthermore, we estimate the Fekete-Szeg¨o functional for f ∈ ℒ Σ λ (φ).