Book ChapterDOI
Coefficient Bounds of Bi-univalent Functions Using Faber Polynomial
T. Janani,Sibel Yalçın +1 more
- pp 151-159
TLDR
In this article, a bi-univalent subclass Σ related with Faber polynomial and investigated the coefficient estimate |an| for functions in the considered subclass with a gap series condition.Abstract:
In this research article, we study a bi-univalent subclass Σ related with Faber polynomial and investigate the coefficient estimate |an| for functions in the considered subclass with a gap series condition. Also, we obtain the initial two coefficient estimates |a2|, |a3| and find the Fekete–Szego functional \(|a_3-a_2^2|\) for the considered subclass. New results which are further examined are also pointed out in this article.read more
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.
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}.
Journal ArticleDOI
The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in ¦z¦<1
E. Netanyahu,E. Netanyahu +1 more
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.
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