Coefficients estimates of a new class of analytic bi-univalent functions with bounded boundary rotation

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Goswami P., BULUT S., Shekhawat N.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.51, sa.5, ss.1271-1279, 2022 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 5
  • Basım Tarihi: 2022
  • Doi Numarası: 10.15672/hujms.822815
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1271-1279
  • Anahtar Kelimeler: univalent functions, bi-univalent functions, bounded boundary rotations, coefficient estimates, fekete-Szeg? problem, q-calculus
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a new subclass of analytic bi-univalent functions defined by using q-derivative operator. Further, we obtain both some initial and general coefficient bounds, and also Fekete-Szego inequalities for bi-univalent functions that belong to this class. Our results extend and improve some known results as special cases.