In this paper, we mainly study the order of q-starlikeness well-known basic hypergeometric function. addition, discuss Bieberbach-type problem and second Hankel determinant for a generalized class starlike functions.

We introduce and study a class of starlike functions defined by \begin{equation*} \mathscr{S}^*_\wp:=\left\{f\in\mathcal{A}: \frac{zf'(z)}{f(z)}\prec 1+ze^z=:\wp(z)\right\}, \end{equation*} where $\wp$ maps the unit disk onto cardioid domain. find radius convexity $\wp(z)$ establish inclusion relations between $ \mathscr{S}^*_\wp$ some well-known classes. Further we derive sharp constants coeff...

In this paper the authors studied the coefficient estimate of a class of functions starlike with respect to k-symmetric points defined by derivative operators D n λ introduced by Al-Shaqsi and Darus [6]. The integral representation and several coefficient inequalities of functions belonging to this class are obtained. 1 Introduction Let A denote the class of functions of the form: f (z) = z + ∞...

In this paper we will study the integral operator involving Bessel functions of the first kind and of order v.We will investigate the integral operator for the classes of starlike and convex functions in the open unit disk.

In this paper, we define a new subclass Ao(A, B) of univalent functions and investigate several interesting characterization theorems involving a general class S" [A, B] of starlike functions

This is an introductory survey on applications of the Julia variation to problems in geometric function theory. A short exposition is given which develops a method for treating extremal problems over classes F of analytic functions on the unit disk D for which appropriate subsets Fn can be constructed so that (i) F = ⋃ n Fn and (ii) for each f ∈ Fn a geometric constraint will hold that ∂f(D) wi...

The main purpose of the present paper is to derive a new criterion for mul-tivalent starlike functions by applying Jack's lemma.