Affiliation:
1. Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology , Chennai - 600 127 , India
Abstract
Abstract
In this article, we define a new subclass of analytic functions
ℛ
(
t
,
δ
)
{\mathcal{ {\mathcal R} }}\left(t,\delta )
in the open unit disk
D
{\mathbb{D}}
associated with the petal-shaped domain. The bounds of the coefficients
a
2
{a}_{2}
,
a
3
{a}_{3}
, and
a
4
{a}_{4}
for the functions in the new class are obtained. We also acquire the bound of the Fekete-Szegö inequality and the bound of the Toeplitz determinants
T
2
(
2
)
{{\mathcal{T}}}_{2}\left(2)
and
T
3
(
1
)
{{\mathcal{T}}}_{3}\left(1)
for the functions in the defined class.
Subject
Applied Mathematics,Analysis