On a new subclass of biunivalent functions associated with the (p, q)-Lucas polynomials and bi-Bazilevic̆type functions of order ρ + iξ

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ORHAN H., Aktaş İ., Arikan H.

Turkish Journal of Mathematics, cilt.47, sa.1, ss.98-109, 2023 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.55730/1300-0098.3348
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.98-109
  • Anahtar Kelimeler: Bazilevi? functions, Lucas polynomial, analytic functions, univalent functions, biunivalent functions, COEFFICIENT PROBLEM
  • Atatürk Üniversitesi Adresli: Evet

Özet

© TÜBİTAKUsing (p, q) -Lucas polynomials and bi-Bazilevic̆type functions of order ρ + iξ, we defined a new subclass of biunivalent functions. We obtained coefficient inequalities for functions belonging to the new subclass. In addition to these results, the upper bound for the Fekete-Szegö functional was obtained. Finally, for some special values of parameters, several corollaries were presented