
Horadam polynomials and their applications tonew family of bi-univalent functions with respect to symmetric conjugate points
Author(s) -
Abbas Kareem Wanas,
Sibel Yalçın
Publication year - 2020
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-2021-01-0007
Subject(s) - holomorphic function , mathematics , unit disk , conjugate , complex conjugate , conjugate points , pure mathematics , discrete mathematics , mathematical analysis
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.