INTRODUCING A NOVEL SUBCLASS OF HARMONIC FUNCTIONS WITH CLOSE-TO-CONVEX PROPERTIES

ÇAKMAK S., YALÇIN TOKGÖZ S.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.15, sa.9, ss.2181-2191, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 9
  • Basım Tarihi: 2025
  • Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.2181-2191
  • Anahtar Kelimeler: 30C45, 30C50, Close-to-convex functions, Distortion, Harmonic functions, Starlike functions
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a new subclass of close-to-convex harmonic functions. We present a sufficient coefficient condition for a function to be a member of this class. Furthermore, we establish a distortion theorem. These results lay the groundwork for extending the findings to function classes involving higher-order derivatives.