Log-Harmonic mappings associated with the sine function

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Kumar S., Çetinkaya A., Esra Özkan Uçar H.

Hacettepe Journal of Mathematics and Statistics, cilt.54, sa.2, ss.368-377, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.15672/hujms.1386151
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.368-377
  • Anahtar Kelimeler: radius of starlikeness, sine close-to-starlike log-harmonic mapping, sine starlike log-harmonic mapping, starlike function
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

In this paper, we define new subclasses STlh (s) and CSTlh (s) of sine starlike log-harmonic mappings and sine close-to-starlike log-harmonic mappings, respectively, defined in the open unit disc D. We investigate representation theorem and integral representation theorem for functions in the class STlh (s). Further, we determine radius of starlikeness for functions in the classes STlh (s) and CSTlh (s).