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Estimates on coefficients of a general subclass of bi-univalent functions associated with symmetric \(q\)-derivative operator by means of the Chebyshev polynomials - MaRDI portal

Estimates on coefficients of a general subclass of bi-univalent functions associated with symmetric \(q\)-derivative operator by means of the Chebyshev polynomials (Q1698494)

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scientific article; zbMATH DE number 6839635
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English
Estimates on coefficients of a general subclass of bi-univalent functions associated with symmetric \(q\)-derivative operator by means of the Chebyshev polynomials
scientific article; zbMATH DE number 6839635

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    Estimates on coefficients of a general subclass of bi-univalent functions associated with symmetric \(q\)-derivative operator by means of the Chebyshev polynomials (English)
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    15 February 2018
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    Summary: In this paper, we study a newly-constructed subclass of bi-univalent functions defined by using symmetric \(q\)-derivative operator. Upper bounds for the second and third coefficients, and also Fekete-Szegö inequalities of functions in this subclass are founded. Moreover, certain special cases are also indicated.
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    coefficient bounds
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    subordination
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    Fekete-Szegö inequality
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