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Initial bounds for analytic and bi-univalent functions by means of Chebyshev polynomials
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 thisExpand
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Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers
In 2010, Srivastava et al. [ 38 ] revived the study of coefficient problems for bi-univalent functions. Due to the pioneering work of Srivastava et al. [ 38 ], there has been elicit curiosity toExpand
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Initial Coe ffi cient Bounds for a General Class of Bi-Univalent Functions
Recently, Srivastava et al. [22] reviewed the study of coefficient problems for bi-univalent functions. Inspired by the pioneering work of Srivastava et al. [22], there has been triggering interestExpand
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Second Hankel Determinant for certain class of bi-univalent functions defined by Chebyshev polynomials
Making use of Chebyshev polynomials, we obtain upper bound estimate for the second Hankel determinant of a subclass $\mathcal{N}_{\sigma }^{\mu}\left( \lambda ,t\right) $ of bi-univalent functionExpand
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Faber polynomial coefficient estimates for certain subclasses of meromorphic bi-univalent functions
Abstract Making use of the Faber polynomial coefficient expansions to a class of meromorphic bi-univalent functions, we obtain the general coefficient estimates for such functions and study theirExpand
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Certain Subclasses of Bi-Starlike and Bi-Convex Functions of Complex Order
In this paper, we introduce and investigate an interesting subclass M§(∞;‚;-;') of analytic and bi-univalent functions of complex order in the open unit disk U: For func- tions belonging to the classExpand
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Fekete–Szegö problem for a class of $$\lambda $$λ-convex and $$\mu $$μ-starlike functions associated with k-th root transformation using quasi-subordination
In this paper, we obtain the estimates with k-th root transformation for certain classes of analytic univalent functions using quasi-subordination. Some interesting remarks of the results presentedExpand
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Coefficient inequalities for a comprehensive class of bi-univalent functions related with bounded boundary variation
In the current work, we delineate a comprehensive class of bi-univalent functions connected with a bounded boundary variation to get the estimates of the first two Taylor–Maclaurin coefficients. InExpand
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Fekete–Szegö problem for certain classes of Ma-Minda bi-univalent functions
In the present work, we propose to investigate the Fekete–Szegö inequalities certain classes of analytic and bi-univalent functions defined by subordination. The results in the bounds of the thirdExpand
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