Publication | Open Access
Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials
11
Citations
9
References
2017
Year
Chebyshev PolynomialsBiunivalent Functions AssociatedEngineeringOrthogonal PolynomialCoefficient BoundsBiunivalent FunctionsOpen Unit DiskLower BoundAnalytic Number TheoryAnalytic CombinatoricsFunction TheoryFunctional AnalysisReal Algebraic GeometryApproximation TheoryComplex Function Theory
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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