Exploration of multivalent harmonic functions: Investigating essential properties

Çakmak S.

Hacettepe Journal of Mathematics and Statistics, cilt.54, sa.2, ss.562-574, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.15672/hujms.1428478
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.562-574
  • Anahtar Kelimeler: coefficient bounds, convexity radii, convolution, distortion theorem, harmonic multivalent functions, starlikeness radii
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

Within this manuscript, we introduce an innovative subclass of multivalent harmonic functions, encompassing higher-order derivatives within the confines of an open unit disk. Our investigation extends to the analysis of coefficient bounds, growth estimates, starlikeness, and convexity radii uniquely associated with this particular class. Furthermore, we scrutinize the property of closure under convolution operations for this subclass.