Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials | Zendy

H. Özlem Güney | Zendy; G. Murugusundaramoorthy | Zendy; K. Vijaya | Zendy

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Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials

Author(s) -

H. Özlem Güney,

G. Murugusundaramoorthy,

K. Vijaya

Publication year - 2017

Publication title -

journal of complex analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.167

H-Index - 7

eISSN - 2314-4963

pISSN - 2314-4971

DOI - 10.1155/2017/4150210

Subject(s) - chebyshev polynomials , mathematics , chebyshev filter , classical orthogonal polynomials , chebyshev equation , pure mathematics , function (biology) , gegenbauer polynomials , chebyshev nodes , unit disk , orthogonal polynomials , mathematical analysis , evolutionary biology , biology

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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