Exploration of multivalent harmonic functions: Investigating essential properties

Çakmak S.

Hacettepe Journal of Mathematics and Statistics, vol.54, no.2, pp.562-574, 2025 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 2
  • Publication Date: 2025
  • Doi Number: 10.15672/hujms.1428478
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.562-574
  • Keywords: coefficient bounds, convexity radii, convolution, distortion theorem, harmonic multivalent functions, starlikeness radii
  • Istanbul Gelisim University Affiliated: Yes

Abstract

Within this manuscript, we introduce an innovative subclass of multivalent harmonic functions, encompassing higher-order derivatives within the confines of an open unit disk. Our investigation extends to the analysis of coefficient bounds, growth estimates, starlikeness, and convexity radii uniquely associated with this particular class. Furthermore, we scrutinize the property of closure under convolution operations for this subclass.