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


BAYRAM H.

Symmetry, vol.14, no.4, 2022 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.3390/sym14040708
  • Journal Name: Symmetry
  • Journal Indexes: Science Citation Index Expanded, Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: harmonic functions, univalent functions, star-like functions, q-analogue, subordination, STARLIKE

Abstract

© 2022 by the authors. Licensee MDPI, Basel, Switzerland.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.