In this paper, we introduce and investigate an interesting subclass N?h,p (?, ?) of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class N?h,p (?, ?), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would generalize and improve some recent works of ?a?lar et al. [3], Xu et al. [10], and other authors.
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.
In this paper, we find coefficient estimates by a new method making use of the Faber polynomial expansions for a comprehensive subclass of analytic bi-univalent functions, which is defined by subordinations in the open unit disk. The coefficient bounds presented in this paper would generalize and improve some recent works appeared in the literature.
In this work, considering a general subclass of analytic bi-univalent
functions, we determine estimates for the general Taylor-Maclaurin coecients
of the functions in this class. For this purpose, we use the Faber polynomial
expansions. In certain cases, our estimates improve some of those existing
coefficient bounds.
In this paper we introduce and investigate an interesting subclass LB h;ṗ. / of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class LB h;ṗ. /, we obtain estimates on the first two Taylor-Maclaurin coefficients a 2 and a 3. The results presented in this paper would generalize and improve some recent work of Joshi et al. [5].
In this work, we introduce and investigate two new subclasses of the bi-univalent functions in which both f and f −1 are m-fold symmetric analytic functions. For functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for |am+1| and |a2m+1| .
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