Successive Logarithmic Coefficients of Univalent Functions
The paper deals with logarithmic coefficients of univalent functions. The sharp lower and upper estimations of | γ 2 ( f ) | - | γ 1 ( f ) | were obtained in the class S , where γ n ( f ) denotes the n -th logarithmic coefficient of f ∈ S . The result is applicable to some standard subclasses of S ....
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| Vydané v: | Computational methods and function theory Ročník 24; číslo 4; s. 693 - 705 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.12.2024
|
| Predmet: | |
| ISSN: | 1617-9447, 2195-3724 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | The paper deals with logarithmic coefficients of univalent functions. The sharp lower and upper estimations of
|
γ
2
(
f
)
|
-
|
γ
1
(
f
)
|
were obtained in the class
S
, where
γ
n
(
f
)
denotes the
n
-th logarithmic coefficient of
f
∈
S
. The result is applicable to some standard subclasses of
S
. Relevant examples were indicated. |
|---|---|
| ISSN: | 1617-9447 2195-3724 |
| DOI: | 10.1007/s40315-023-00500-9 |