Coefficient Estimates for Bi-Univalent Functions in Connection with Symmetric Conjugate Points Related to Horadam Polynomial

S. Melike Aydoğan and Zeliha Karahüseyin
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S. Melike Aydoğan: Department of Mathematics, Istanbul Technical University, 34467 Istanbul, Turkey
Zeliha Karahüseyin: Department of Mathematics and Computer Science, Istanbul Kültür University, 34158 Istanbul, Turkey

Mathematics, 2020, vol. 8, issue 11, 1-8

Abstract: In the current study, we construct a new subclass of bi-univalent functions with respect to symmetric conjugate points in the open disc E, described by Horadam polynomials. For this subclass, initial Maclaurin coefficient bounds are acquired. The Fekete–Szegö problem of this subclass is also acquired. Further, some special cases of our results are designated.

Keywords: bi-univalent functions; symmetric conjugate points; horadam polynomial; Fekete–Szegö problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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