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Second Hankel determinant of logarithmic coefficients of inverse strongly starlike functions

Part of: Geometric function theory

Published online by Cambridge University Press:  08 November 2024

Adam Lecko Open the ORCID record for Adam Lecko [Opens in a new window]  and
Barbara Śmiarowska Open the ORCID record for Barbara Śmiarowska [Opens in a new window]
Adam Lecko*
Affiliation:
Department of Complex Analysis, Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, Olsztyn, Poland
Barbara Śmiarowska
Affiliation:
Department of Complex Analysis, Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, Olsztyn, Poland
*
Corresponding author: Adam Lecko, email: alecko@matman.uwm.edu.pl
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Abstract

The sharp bound of the second Hankel determinant of logarithmic coefficients of inverse functions of strongly starlike functions is computed.

Keywords

univalent functionstarlike functionstrongly starlike functioninverse functionlogarithmic coefficientsHankel determinant

MSC classification

Primary: 30C50: Coefficient problems for univalent and multivalent functions
Secondary: 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 67 , Issue 4 , November 2024 , pp. 1196 - 1211
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.

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