Some basic geometric properties of a subclass of harmonic mappings

Çakmak S., Yaşar E., Yalçın Tokgöz S.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.28, sa.2, ss.1-13, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s40590-022-00448-1
  • Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1-13
  • Anahtar Kelimeler: Harmonic, Univalent, Convolution, SECTIONS
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.