Affiliation:
1. Faculty of Mathematical Sciences , Shahrood University of Technology , P.O.Box 316-36155 , Shahrood , Iran
2. Department of Mathematics , University of Semnan , Semnan , Iran
Abstract
Abstract
In this paper, we use the Faber polynomial expansion to find upper bounds for |an
| (n ≥ 3) coefficients of functions belong to classes
H
q
Σ
(
λ
,
h
)
,
S
T
q
Σ
(
α
,
h
)
and
M
q
Σ
(
α
,
h
)
$\begin{array}{}
H_{q}^{\Sigma}(\lambda,h),\, ST_{q}^{\Sigma}(\alpha,h)\,\text{ and} \,\,M_{q}^{\Sigma}(\alpha,h)
\end{array}$
which are defined by quasi-subordinations in the open unit disk 𝕌. Further, we generalize some of the previously published results.
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