Some Properties of Certain Multivalent Harmonic Functions

Creative Commons License

Oros G. I., Yalçın Tokgöz S., Bayram H.

MATHEMATICS, vol.11, no.11, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 11
  • Publication Date: 2023
  • Doi Number: 10.3390/math11112416
  • Journal Name: MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: harmonic, multivalent, starlikeness, convexity, convolution, GEOMETRIC-PROPERTIES, SECTIONS, SUBCLASSES, INJECTIVITY
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, various features of a new class of normalized multivalent harmonic functions in the open unit disk are analyzed, including bounds on coefficients, growth estimations, starlikeness and convexity radii. It is further demonstrated that this class is closed when its members are convoluted. It can also be seen that various previously introduced and investigated classes of multivalent harmonic functions appear as special cases for this class.