Some Properties of Certain Multivalent Harmonic Functions

Oros G. I., YALÇIN TOKGÖZ S., BAYRAM H.

MATHEMATICS, cilt.11, sa.11, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 11
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3390/math11112416
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: harmonic, multivalent, starlikeness, convexity, convolution, GEOMETRIC-PROPERTIES, SECTIONS, SUBCLASSES, INJECTIVITY
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.