Some basic geometric properties of a subclass of harmonic mappings

Çakmak S., Yaşar E., Yalçın Tokgöz S.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, vol.28, no.2, pp.1-13, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 2
  • Publication Date: 2022
  • Doi Number: 10.1007/s40590-022-00448-1
  • Journal Name: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.1-13
  • Keywords: Harmonic, Univalent, Convolution, SECTIONS
  • Bursa Uludag University Affiliated: Yes

Abstract

In the present paper, a new subclass of complex-valued harmonic functions in the open unit disk is introduced and coefficient bounds, growth estimates, radius of univalency, radius of starlikeness and radius of convexity of this class are investigated. In addition, it is shown that this class is closed under convolution of its members.