INCLUSION RESULTS IN HARMONIC FUNCTION CLASSES USING POWER SERIES DISTRIBUTION

Yildiz A., ÇAKMAK S.

Communications of the Korean Mathematical Society, cilt.41, sa.2, ss.609-626, 2026 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 2
  • Basım Tarihi: 2026
  • Doi Numarası: 10.4134/ckms.c250242
  • Dergi Adı: Communications of the Korean Mathematical Society
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.609-626
  • Anahtar Kelimeler: Harmonic close-to-convex functions, inclusion relations, Pascal distribution series, Poisson distribution series
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this paper, we study inclusion relations for a previously introduced class of harmonic close-to-convex functions. Using operators defined via the Pascal and Poisson distribution series and applying suitable coefficient bounds, we obtain new inclusion results among the classes of harmonic convex functions, harmonic starlike functions, and the defined class. Our findings highlight the effectiveness of distribution series operators in geometric function theory.