Note on bounds on the coefficients of a subclass of <i>m</i>-fold symmetric bi-univalent functions

Zireh A., Hajiparvaneh S., Bulut S.

JOURNAL OF APPLIED ANALYSIS, cilt.30, sa.1, ss.187-195, 2024 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1515/jaa-2023-0052
  • Dergi Adı: JOURNAL OF APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, ABI/INFORM, zbMATH
  • Sayfa Sayıları: ss.187-195
  • Anahtar Kelimeler: Analytic functions, bi-univalent functions, coefficient estimates
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions which both f(z) and f(-1)(z) are m-fold symmetric on the open unit disk. Furthermore, we find upper bounds for the initial coefficients |a(m+1)| and |a(2m+1)| for functions in this subclass. The results presented in this paper generalize and improve some recent works