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arxiv: 1706.07937 · v2 · pith:35B2HH7Nnew · submitted 2017-06-24 · 🧮 math.CV

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

classification 🧮 math.CV
keywords chebyshevdeterminantfunctionshankelpolynomialssecondbelongingbi-univalent
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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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