Coefficient bounds for subclasses of biunivalent functions associated with the Chebyshev polynomials (Q1785604)

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scientific article; zbMATH DE number 6945695
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Coefficient bounds for subclasses of biunivalent functions associated with the Chebyshev polynomials
scientific article; zbMATH DE number 6945695

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    Coefficient bounds for subclasses of biunivalent functions associated with the Chebyshev polynomials (English)
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    1 October 2018
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    Summary: We introduce and investigate new subclasses of biunivalent functions defined in the open unit disk, involving Sălăgean operator associated with Chebyshev polynomials. Furthermore, we find estimates of the first two coefficients of functions in these classes, making use of the Chebyshev polynomials. Also, we give Fekete-Szegö inequalities for these function classes. Several consequences of the results are also pointed out.
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    new subclasses of biunivalent functions
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    Sălăgean operator
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    Fekete-Szegö inequalities
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