Some Geometric Properties of Subclasses of p-valent Functions with negative coefficients defined by Opoola Differential Operator

Atinuke Ayanfe Amao; Timothy Oloyede Opoola

doi:10.2478/gm-2025-0003

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Some Geometric Properties of Subclasses of p-valent Functions with negative coefficients defined by Opoola Differential Operator

General Mathematics

Volume 33 (2025): Issue 1 (June 2025)

By: Atinuke Ayanfe Amao and Timothy Oloyede Opoola

Open Access

|Apr 2026

Abstract

In this work, the geometric properties of new subclasses A^m_g(p, t, b, α) and M^m_g(p, t, b, α; Λ) were studied. In particular the characterisation property and coefficient bound for functions in A^m_g(p, t, b, α), distortion and growth property for functions in M^m_g(p, t, b, α; Λ) and inclusion relations for functions in the two subclasses were established.

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2025-0003 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 36 - 50

Submitted on: May 30, 2025

Accepted on: Aug 5, 2025

Published on: Apr 8, 2026

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Analytic functions,

p-valent functions,

convolution principle,

(m, δ)−neighbourhood and Opoola differential operator

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2026 Atinuke Ayanfe Amao, Timothy Oloyede Opoola, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 33 (2025): Issue 1 (June 2025)