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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Bibliographic Details
Published in:Computational methods and function theory Vol. 24; no. 4; pp. 693 - 705
Main Authors: Lecko, Adam, Partyka, Dariusz
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2024
Subjects:
Analysis
Computational Mathematics and Numerical Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
30C75
30C45
30C50
Logarithmic coefficients
Univalent functions
Successive coefficients
ISSN:1617-9447, 2195-3724
Online Access:Get full text
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Summary: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