Regarding a Novel Subclass of Harmonic Multivalent Functions Defined by Higher-Order Differential Inequality

Çakmak S.

Iranian Journal of Science, vol.48, no.6, pp.1541-1550, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 6
  • Publication Date: 2024
  • Doi Number: 10.1007/s40995-024-01697-7
  • Journal Name: Iranian Journal of Science
  • Journal Indexes: Scopus
  • Page Numbers: pp.1541-1550
  • Keywords: 30C45, 30C50, Coefficient bounds, Convexity radii, Convolution, Distortion theorem, Harmonic multivalent functions, Starlikeness radii
  • Istanbul Gelisim University Affiliated: Yes

Abstract

In this paper, we present a novel subclass of multivalent harmonic functions that incorporates higher-order derivatives within an open unit disk. We investigate growth estimates, convexity radii, starlikeness, and coefficient bounds specific to this class. Furthermore, we explore the closed property of this subclass under convolution operations.