<abstract xmlns="http://www.w3.org/1999/xhtml">

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

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

Faculty of Physical Sciences Department of Mathematics

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this investigation, we introduce a new q-differential operator that generalizes the well-known Opoola differential operator. Using the operator, we define a...

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

Publié en ligne: 24 nov. 2023

Pages: 3 - 13

Reçu: 10 avr. 2021

Accepté: 19 juin 2022

DOI: https://doi.org/10.2478/gm-2022-0001

Mots clés
Analytic function, univalent function, -bounded turning function, Carathéodory function, Opoola -differential operator, -differentiation

© 2022 Ayotunde Olajide Lasode et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Publié en ligne: 24 nov. 2023

Pages: 3 - 13

Reçu: 10 avr. 2021

Accepté: 19 juin 2022

DOI: https://doi.org/10.2478/gm-2022-0001

Mots clésAnalytic function, univalent function, -bounded turning function, Carathéodory function, Opoola -differential operator, -differentiation

© 2022 Ayotunde Olajide Lasode et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Analytic function, univalent function, -bounded turning function, Carathéodory function, Opoola -differential operator, -differentiation