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

Lasode, Ayotunde Olajide; Opoola, Timothy Oloyede

doi:10.2478/gm-2022-0001

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_qⁿ (µ, β, τ ; λ). Afterwards, inclusion, characterisation, growth, distortion, covering, linear combination and neighborhood properties of functions f ∈ ℛ_qⁿ (µ, β, τ ; λ) are presented.

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

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