In this paper, we show that the Carathéodory function φ _ Ne (z)= 1+ zz^ 3/3 φ Ne (z)= 1+ zz
3/3 maps the open unit disk DD onto the interior of the nephroid, a 2-cusped kidney-shaped …

In this article, by employing the hyperbolic tangent function tanh z, a subfamily S tanh∗
S_\tanh^∗ of starlike functions in the open unit disk D⊂ CD⊂C: D= z: z∈ C and| z|< 1 …

Abstract Let S_\cos^* S cos∗ denote the class of normalized analytic functions f such that zf^
′ (z) f (z) ≺\cos (z) zf′(z) f (z)≺ cos (z). For this class, we obtain structural formula, inclusion …

In the current article, we consider certain subfamilies S e∗ and C e of univalent functions
associated with exponential functions which are symmetric along real axis in the region of …

In this paper, we introduce and explore a new class of starlike functions denoted by
$\mathcal {S}^* _ {\mathfrak {B}} $, defined as follows: $$\mathcal {S}^* _ {\mathfrak …

Hankel determinant of order three for familiar subsets of analytic functions related with sine
function Skip to content Should you have institutional access? Here's how to get it ... De Gruyter …

We introduce and study a class of starlike functions defined by^* _ ℘:=\left {f ∈ A: zf'(z) f (z) ≺
1+ ze^ z=: ℘ (z)\right\}, S℘∗:= f∈ A: zf′(z) f (z)≺ 1+ zez=:℘(z), where ℘℘ maps the unit disk …

The main contribution of this article is to define a family of starlike functions associated with a
cosine hyperbolic function. We investigate convolution conditions, integral preserving …

The main focus of this research is to solve certain coefficient-related problems for analytic
functions that are subordinated to a unique trigonometric function. For the class S sin*, with …

The goal of this article is to determine sharp inequalities of certain coefficient‐related
problems for the functions of bounded turning class subordinated with a petal‐shaped …