INTRODUCING A NOVEL SUBCLASS OF HARMONIC FUNCTIONS WITH CLOSE-TO-CONVEX PROPERTIES

Çakmak S., Yalçın Tokgöz S.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, vol.15, no.9, pp.2181-2191, 2025 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 9
  • Publication Date: 2025
  • Journal Name: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Journal Indexes: Scopus, Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.2181-2191
  • Keywords: 30C45, 30C50, Close-to-convex functions, Distortion, Harmonic functions, Starlike functions
  • Istanbul Gelisim University Affiliated: Yes

Abstract

In this paper, we introduce a new subclass of close-to-convex harmonic functions. We present a sufficient coefficient condition for a function to be a member of this class. Furthermore, we establish a distortion theorem. These results lay the groundwork for extending the findings to function classes involving higher-order derivatives.