Aini Janteng

Coefficient estimates for certain subclass of bi-univalent functions

In this paper, a subclass of bi-univalent functions is introduced using subordination. Estimates on the initial coefficients and the Fekete-Szego inequality are determined for functions in this subclass. The results would generalize the previous related works of several earlier authors.

Coefficient estimates for some subclasses of bi-univalent functions

Let A be a class of functions of the form f(z)=z+∑n=2∞anzn which are analytic in the open unit disc D={ z∈ℂ:| z |<1 } where an is a complex number. Also let S denotes a subclass of all functions in A which are univalent in D and let Σ denotes the class of bi-univalent functions in D. In this paper, we introduce two subclasses of Σ defined in the open unit disk D which are denoted by G∑s(α,β) and G*∑s(α,β) and we find the upper bounds for the second and S LS third coefficients for functions in these subclasses.

Estimate on the second Hankel determinant for subclasses of analytic functions

This paper focuses on the functional |a2a4-a32| for subclasses of analytic functions denoted by R(β), 0 ≤ β < 1 and H(β), 0 ≤ β < 0.2287. The upper bound |a2a4-a32| for R(β) and H(β) are obtained.

Coefficient Estimates for a Subclass of Univalent Functions with Respect to Symmetric Points

Let A be the class of functions which are analytic in the open unit disc . We denote by S the subclass of A consisting of all functions in A which are also univalent in D. In this paper, the subclasses of S denoted by Cs(g) and K*s(g) are introduced. We obtain coefficient bounds for f Cs(g) and f K*s(g). These results generalize many known results.

Estimate on the second Hankel determinant for a subclass of quasi-convex functions

In this paper, we consider the class Kα* of the functions of the form f(z) = z+a2z2+⋯ which are analytic univalent in the disc D = {z:|z| 0 where g ∈ C. This paper focuses on the functional |a2a4-a32| for a function belonging to Kα* is obtained.