Journal ArticleDOI
A certain general subclass of analytic and bi-univalent functions and associated coefficient estimate problems
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The coefficient estimate problems associated with an interesting general subclass B Σ h , p ( λ ) of analytic and bi-univalent functions in the open unit disk U are investigated, which is introduced here.About:
This article is published in Applied Mathematics and Computation.The article was published on 2012-08-01. It has received 175 citations till now. The article focuses on the topics: Unit disk.read more
Citations
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Journal ArticleDOI
Coefficient estimates for a certain subclass of analytic and bi-univalent functions
TL;DR: An interesting subclass N h ;p Σ ( ; ) of analytic and bi-univalent functions in the open unit disk U is introduced and estimates on the first two Taylor-Maclaurin coefficients are obtained.
Journal ArticleDOI
Coefficient estimates for a general subclass of analytic and bi-univalent functions
TL;DR: In this article, an interesting subclass NΣh,p (λ, μ) of analytic and bi-univalent functions in the open unit disk U is introduced and investigated, and the first two Taylor-Maclaurin coefficients |a2| and |a3| are obtained.
Journal ArticleDOI
Coefficient estimates for a subclass of analytic and bi-univalent functions
Hari M. Srivastava,Deepak Bansal +1 more
TL;DR: In this article, a new subclass Σ ( τ, γ, φ ) of the class Σ consisting of analytic and bi-univalent functions in the open unit disk U is introduced.
Journal ArticleDOI
Coefficient bounds for new subclasses of bi-univalent functions
TL;DR: In this article, two new subclasses N Σ (; ) and N ǫ ( ; ) of bi-univalent functions defined in the open unit disk U = {z : |z| < 1}.
Journal ArticleDOI
Coefficient Bounds for a Certain Class of Analytic and Bi-Univalent Functions
TL;DR: In this article, a subclass of analytic and bi-univalent functions in the open unit disk was introduced and investigated using the Faber polynomial expansions, and upper bounds for the coefficients of functions belonging to this class were obtained.
References
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Journal ArticleDOI
Certain subclasses of analytic and bi-univalent functions
TL;DR: Two interesting subclasses of normalized analytic and univalent functions in the open unit disk whose inverse has univalently analytic continuation to U is introduced and investigated.
Journal ArticleDOI
On a coefficient problem for bi-univalent functions
TL;DR: The bi-univalent function f(z) is defined in this paper as a function that belongs to a set of functions mapping the open unit circle onto a schlicht domain containing open unit circles.
Journal ArticleDOI
New subclasses of bi-univalent functions
Basem Aref Frasin,M. K. Aouf +1 more
TL;DR: Two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc are introduced and estimates on the coefficients of functions in these new sub classes are found.
Book ChapterDOI
On some classes of bi-univalent functions
David A. Brannan,T.S. Taha +1 more
TL;DR: In this article, some classes of functions f(z) = z + ∑anzn that are analytic and univalent in the unit disc U = {z : | z | < l}.