This investigation is on a set SN∗ q (n, τ; η) of q-starlike functions defined by using a newly
defined q-analogue of Al-Oboudi-Al-Qahtani integral operator along with subordination and …

Let κ be an analytic function in the open unit disc U in the complex plane with κ\(0\)= 1. Then
κ∈ K\(λ\) if and only if Image 1, where≺ is a subordination relation and the function Image 2 …

The function PL (z)= 1+ z maps the unit disc D={z∈ C:| z|< 1} to a leminscate which is
symmetric about the x-axis. The conditions on the parameters α and n, for which the …

In this work, the geometric nature of solutions to two second-order differential equations,
zy′′(z)+ a (z) y′(z)+ b (z) y (z)= 0 and z 2 y′′(z)+ a (z) y′(z)+ b (z) y (z)= d (z), is …

The aim of this work is to establish a connection between Bohr's radius and the analytic and
normalized solutions of two differential second-order differential equations, namely y ″(z)+ …

Suppose that A 1 is a class of analytic functions f: D={z∈ C:| z|< 1}→ C with normalization f
(0)= 1. Consider two functions P l (z)= 1+ z and Φ N e (z)= 1+ z− z 3/3, which map the …

The association of subordination and special functions is used to find sharp estimates on the
parameter $\beta $ such that the analytic function $ p (z) $ is subordinate to certain functions …