Suzeini Abdul Halim

Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions

We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.

Differential Subordination Properties of Sokół-Stankiewicz Starlike Functions

Let be an analytic function defined on the open unit disk D and . Condition in terms of complex numbers D and real E with -1 is determined such that implies . Furthermore, the expression and are considered in obtaining similar results.

DIFFERENTIAL SUBORDINATION PROPERTIES OF CERTAIN ANALYTIC FUNCTIONS

This paper looks at subordination properties involving 1 + βzp′(z) and the class of Sokol–Stankiewicz starlike functions where condition on β is determined so that the relation would imply . Similar results are obtained for expressions of the form and . These results are then applied to obtain other relations involving similar expressions.

Subclass of starlike functions associated with a limacon

Let S*LC represent a new subclass of analytic functions f defined in the open unit disk in the complex plane such that zf’(z)f(z) lies in the interior of the domain bounded by the limacon given by the equation (4x2+4y2−8x−5)2+8(4x2+4y2−12x−3)=0. In this paper, we investigate the geometric properties of functions in this class.Let S*LC represent a new subclass of analytic functions f defined in the open unit disk in the complex plane such that zf’(z)f(z) lies in the interior of the domain bounded by the limacon given by the equation (4x2+4y2−8x−5)2+8(4x2+4y2−12x−3)=0. In this paper, we investigate the geometric properties of functions in this class.

Strongly starlike functions associated with a new operator

This paper considers investigating properties of a new subclasses of strongly starlike functions defined using a new proposed operator. These properties include inclusion properties.

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.

Starlikeness and subordination properties of a linear operator

In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator L �. For functions in this class H � k (p,�;h) we estimate the coefficients. Furthermore, some subordination properties related to the operator Lare also derived.

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.

Subclasses of Analytic Functions Associated with Generalised Multiplier Transformations

New subclasses of analytic functions in the open unit disc are introduced which are defined using generalised multiplier transformations. Inclusion theorems are investigated for functions to be in the classes. Furthermore, generalised Bernardi-Libera-Livington integral operator is shown to be preserved for these classes.