Coefficient Estimates for Bi-Univalent Functions in Connection with Symmetric Conjugate Points Related to Horadam Polynomial
1
Department of Mathematics, Istanbul Technical University, 34467 Istanbul, Turkey
2
Department of Mathematics and Computer Science, Istanbul Kültür University, 34158 Istanbul, Turkey
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(11), 1888; https://doi.org/10.3390/math8111888
Received: 8 June 2020 / Revised: 28 September 2020 / Accepted: 30 September 2020 / Published: 31 October 2020
(This article belongs to the Special Issue Geometrical Theory of Analytic Functions)
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.
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Keywords:
bi-univalent functions; symmetric conjugate points; horadam polynomial; Fekete–Szegö problem
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MDPI and ACS Style
Aydoğan, S.M.; Karahüseyin, Z. Coefficient Estimates for Bi-Univalent Functions in Connection with Symmetric Conjugate Points Related to Horadam Polynomial. Mathematics 2020, 8, 1888. https://doi.org/10.3390/math8111888
AMA Style
Aydoğan SM, Karahüseyin Z. Coefficient Estimates for Bi-Univalent Functions in Connection with Symmetric Conjugate Points Related to Horadam Polynomial. Mathematics. 2020; 8(11):1888. https://doi.org/10.3390/math8111888
Chicago/Turabian StyleAydoğan, S. M.; Karahüseyin, Zeliha. 2020. "Coefficient Estimates for Bi-Univalent Functions in Connection with Symmetric Conjugate Points Related to Horadam Polynomial" Mathematics 8, no. 11: 1888. https://doi.org/10.3390/math8111888
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