4.5 Article

q-Analogue of a New Subclass of Harmonic Univalent Functions Associated with Subordination

Journal

SYMMETRY-BASEL
Volume 14, Issue 4, Pages -

Publisher

MDPI
DOI: 10.3390/sym14040708

Keywords

harmonic functions; univalent functions; star-like functions; q-analogue; subordination

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This article introduces and investigates the q-analogue of a new subclass of harmonic univalent functions defined by subordination. Coefficient characterization, compactness and extreme points, distortion bounds, and necessary and sufficient convolution conditions for this subclass with negative coefficients are obtained. The symmetry properties and other properties of the q-analogue subclass of functions presented in this paper shed light on future studies.
In this article, we introduce and investigate the q-analogue of a new subclass of harmonic univalent functions defined by subordination. We first obtain a coefficient characterization of these functions. We give compactness and extreme points, distortion bounds, necessary and sufficient convolution conditions for this subclass of harmonic univalent functions with negative coefficients. The symmetry properties and other properties of the q-analogue subclass of functions presented in this paper shed light on future studies.

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