On Close-to-Convex Harmonic Univalent Functions Associated with Poisson and Pascal Distribution Series


Çakmak S., Aydın Y.

Kyungpook Mathematical Journal, cilt.66, sa.2, ss.279-293, 2026 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 66 Sayı: 2
  • Basım Tarihi: 2026
  • Doi Numarası: 10.5666/kmj.2026.66.2.279
  • Dergi Adı: Kyungpook Mathematical Journal
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO)
  • Sayfa Sayıları: ss.279-293
  • Anahtar Kelimeler: close-to-convex functions, Harmonic univalent functions, Pascal distribution series, Poisson distribution series
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this study, relations are presented between subclasses of harmonic univalent functions via convolution operators involving Pascal and Poisson distribution series. Focusing on close-to-convex harmonic functions in the open unit disk U, inclusion statements are investigated and sufficient conditions are derived to ensure that these operators preserve geometric properties.