Coefficient and pre-Schwarzian norm estimates for a class of generalized doubly close-to-convex functions

Abstract

In this paper, we consider a new class 𝒞(ϕ, ψ, η) of analytic functions defined by means of subordination. Coefficient bounds, Fekete–Szegö problem and norm estimates of the pre-Schwarzian derivatives of functions belonging to the class 𝒞(ϕ, ψ, η) are investigated. A class of multiple close-to-convex functions is also considered.