Regarding a Novel Subclass of Harmonic Multivalent Functions Defined by Higher-Order Differential Inequality

Çakmak S.

Iranian Journal of Science, cilt.48, sa.6, ss.1541-1550, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 6
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s40995-024-01697-7
  • Dergi Adı: Iranian Journal of Science
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1541-1550
  • Anahtar Kelimeler: 30C45, 30C50, Coefficient bounds, Convexity radii, Convolution, Distortion theorem, Harmonic multivalent functions, Starlikeness radii
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this paper, we present a novel subclass of multivalent harmonic functions that incorporates higher-order derivatives within an open unit disk. We investigate growth estimates, convexity radii, starlikeness, and coefficient bounds specific to this class. Furthermore, we explore the closed property of this subclass under convolution operations.