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The Second Hankel Determinant of Logarithmic Coefficients for Strongly Ozaki Close-to-Convex Functions
The aim of this paper is to determine sharp bound for the second Hankel determinant of logarithmic coefficients H 2 , 1 ( F f / 2 ) of strongly Ozaki close-to-convex functions in the open unit disk. Furthermore, sharp bound of H 2 , 1 ( F f - 1 / 2 ) , where f - 1 is the inverse function of f , is a...
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Published in: | Bulletin of the Malaysian Mathematical Sciences Society 2023-11, Vol.46 (6), Article 183 |
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Main Authors: | , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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Summary: | The aim of this paper is to determine sharp bound for the second Hankel determinant of logarithmic coefficients
H
2
,
1
(
F
f
/
2
)
of strongly Ozaki close-to-convex functions in the open unit disk. Furthermore, sharp bound of
H
2
,
1
(
F
f
-
1
/
2
)
, where
f
-
1
is the inverse function of
f
, is also computed. The results show an invariance property of the second Hankel determinants of logarithmic coefficients
H
2
,
1
(
F
f
/
2
)
and
H
2
,
1
(
F
f
-
1
/
2
)
for strongly convex functions. |
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ISSN: | 0126-6705 2180-4206 |
DOI: | 10.1007/s40840-023-01580-5 |