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Coefficient estimates for new subclasses of Ma-Minda bi-univalent functions
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Coefficient estimates for new subclasses of Ma-Minda bi-univalent functions
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Journal Article
Coefficient estimates for new subclasses of Ma-Minda bi-univalent functions
2013
Overview
In this paper, we introduce and investigate two new subclasses
H
σ
μ
(
λ
,
φ
)
and
M
σ
γ
(
λ
,
μ
,
φ
)
of Ma-Minda bi-univalent functions defined by using subordination in the open unit disk
D
=
{
z
∈
C
:
|
z
|
<
1
}
. For functions belonging to these new subclasses, we obtain estimates for the initial coefficients
|
a
2
|
and
|
a
3
|
. The results presented in this paper would generalize those in related works of several earlier authors.
MSC:
30C45, 30C80.
Publisher
Springer International Publishing
