(P, Q)-Lucas polynomial coefficient inequalities of the bi-univalent function class

Akgül A.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.5, ss.2170-2176, 2019 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1903-38
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2170-2176
  • Anahtar Kelimeler: (P,Q)-Lucas polynomials, coefficient bounds, bi-univalent functions
  • Kocaeli Üniversitesi Adresli: Evet

Özet

Recently, Lucas polynomials and other special polynomials gained importance in the field of geometric function theory. In this study, by connecting these polynomials, subordination, and the Al-Oboudi differential operator, we introduce a new class of bi-univalent functions and obtain coefficient estimates and Fekete-Szego inequalities for this new class.