Abstract. In this paper, we obtain initial coefficient bounds for functions belong to a subclass of bi-univalent functions by using the Chebyshev polynomials and also we find Fekete-Szegö inequalities for this class.Mathematics subject classification (2010): 30C45.

Abstract. In this paper we extend the concept of bi-univalent to the class of meromorphic functions. We propose to investigate the coefficient estimates for two classes of meromorphic bi-univalent functions. Also, we find estimates on the coefficients |b 0 | and |b 1 | for functions in these new classes. Some interesting remarks and applications of the results presented here are also discussed. 2010 Mathematics Subject Classification: 30C45.

In this work, we obtain an upper bound estimate for the second Hankel determinant of a subclass N µ σ (λ, t) of analytic bi-univalent function class σ which is associated with Chebyshev polynomials in the open unit disk. 2010 Mathematics Subject Classification. Primary 30C45.

No abstract

In this paper, we obtain initial coefficient bounds for functions belong to a subclass of bi-univalent functions by using the Chebyshev polynomials and also we find Fekete-Szegö inequalities for this class.