Second Hankel determinant for certain subclasses of bi-univalent functions involving Chebyshev polynomials

In this paper our purpose is to find upper bound estimate for the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for functions defined by convolution belonging to the class $\mathcal{N}_{\sigma}^{\mu,\delta}(\lambda,t)$ by using Chebyshev polynomials.

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Hauptverfasser: Orhan, Halit, Toklu, Evrim, Kadıoğlu, Ekrem
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Sprache:eng
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Zusammenfassung:In this paper our purpose is to find upper bound estimate for the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for functions defined by convolution belonging to the class $\mathcal{N}_{\sigma}^{\mu,\delta}(\lambda,t)$ by using Chebyshev polynomials.
DOI:10.48550/arxiv.1706.07937