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

Author

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  • Hatun Özlem Güney
  • G. Murugusundaramoorthy
  • K. Vijaya

Abstract

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.

Suggested Citation

  • Hatun Özlem Güney & G. Murugusundaramoorthy & K. Vijaya, 2017. "Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials," Journal of Complex Analysis, Hindawi, vol. 2017, pages 1-7, November.
    • Handle: RePEc:hin:jnljca:4150210
    DOI: 10.1155/2017/4150210
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