Initial Coefficient Estimates of Bi-Univalent Functions Linked with Balancing Coefficients

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Akgül A.

WSEAS Transactions on Mathematics, cilt.22, ss.792-797, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22
  • Basım Tarihi: 2023
  • Doi Numarası: 10.37394/23206.2023.22.87
  • Dergi Adı: WSEAS Transactions on Mathematics
  • Derginin Tarandığı İndeksler: Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.792-797
  • Anahtar Kelimeler: analytic function, Balancing polynomial, bi-univalent, coefficient estimates, Fekete-Szegö functional, subordination
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In the next study we introduce a new class β(α; β(x, z)) of bi-univalent functions connected with Balancing numbers. For functions in this class we have derived the estimates of the Taylor-Maclaurin coefficients a2 and a3 and Fekete-Szegö functional problems for functions belonging to this new subclass. The main corollaries are followed by some special manners, and the innovation of the definitions and the proofs could involve other studies for such types of similarly investigated subclasses of the bi-univalent functions.