Some Properties of a Family of Univalent Functions Defined by a Generalized Opoola Differential Operator

Abstract

Abstract In this investigation, we introduce a new q-differential operator that generalizes the well-known Opoola differential operator. Using the operator, we define a family of q-bounded turning functions. The new class is denoted by ℛ q n (µ, β, τ ; λ). Afterwards, inclusion, characterisation, growth, distortion, covering, linear combination and neighborhood properties of functions f ∈ ℛ q n (µ, β, τ ; λ) are presented.