Work

Geometric convolution characteristics of $ q $-Janowski type functions related to $ (j, k) $-symmetrical functions

Year: 2025

Type: article

Abstract: In this paper, we investigate the properties of functions belonging to the classes $ \psi(\eta)\in\mathcal{\overline{T}}^{j, k}_q(A, B) $ and $ \psi(\eta)\in\mathcal{\overline{K}}^{j, k}_q(A, B) $, these functions are defined within the context of $ q $-calculus and $ (j, k) $-symmetrical functions. We employ convolution techniques and quantum calculus to explore the convolution conditions, which will serve as foundational results for further studies in our work Furthermore, we establish conditions for membership in $ \psi(\eta)\in\mathcal{\overline{T}}^{j, k}_q(A, B) $ and present an example demonstrating the application of these results to rational functions.

Source: AIMS Mathematics

DOI: 10.3934/math.2025304

Authors: Faizah D Alanazi, Fuad Alsarari

Institutions: Northern Border University, Taibah University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Northern Border University