Sharp Initial Coefficient Bounds and the Fekete–Szegő Problem for Some Subclasses of Analytic and Bi-Univalent Functions
We introduce two new subclasses U Σ ( α , λ ) and ℬ 1Σ (α) of analytic bi-univalent functions defined in an open unit disk 𝕌, which are associated with the Bazilevich functions. In addition, for functions from these subclasses, we obtain sharp bounds for the initial Taylor–Maclaurin coefficients a 2...
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Published in | Ukrainian mathematical journal Vol. 75; no. 2; pp. 225 - 234 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
New York
Springer US
01.07.2023
Springer Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | We introduce two new subclasses
U
Σ
(
α
,
λ
) and ℬ
1Σ
(α) of analytic bi-univalent functions defined in an open unit disk 𝕌, which are associated with the Bazilevich functions. In addition, for functions from these subclasses, we obtain sharp bounds for the initial Taylor–Maclaurin coefficients
a
2
and
a
3
,
as well as the sharp estimate for the Fekete–Szegő functional
a
3
-
μ
a
2
2
. |
---|---|
ISSN: | 0041-5995 1573-9376 |
DOI: | 10.1007/s11253-023-02195-6 |