Horadam polynomials and their applications to new family of bi-univalent functions with respect to symmetric conjugate points

• Wanas, Abbas Kareem ; Yalçın, Sibel ^[1]
  1. [1] Bursa Uludağ University.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 1, 2021, págs. 107-116
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2021-01-0007
• Enlaces
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• Resumen

  • In the current paper, by making use of the Horadam polynomials, we introduce and investigate a new family of holomorphic and biunivalent functions with respect to symmetric conjugate points defined in the open unit disk D. We derive upper bounds for the second and third coefficients and solve Fekete-Szegö problem of functions belongs to this family.

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