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SECOND HANKEL DETERMINANT FOR LOGARITHMIC INVERSE COEFFICIENTS OF CONVEX AND STARLIKE FUNCTIONS

Part of: Geometric function theory

Published online by Cambridge University Press:  18 April 2024

VASUDEVARAO ALLU Open the ORCID record for VASUDEVARAO ALLU [Opens in a new window]  and
AMAL SHAJI
VASUDEVARAO ALLU*
Affiliation:
School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar 752050, Odisha, India
AMAL SHAJI
Affiliation:
School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar 752050, Odisha, India e-mail: amalmulloor@gmail.com
*
e-mail: avrao@iitbbs.ac.in
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Abstract

We obtain sharp bounds for the second Hankel determinant of logarithmic inverse coefficients for starlike and convex functions.

Keywords

univalent functionlogarithmic coefficientHankel determinantstarlike and convex functionSchwarz function

MSC classification

Primary: 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
Secondary: 30C50: Coefficient problems for univalent and multivalent functions 30C55: General theory of univalent and multivalent functions

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 111 , Issue 1 , February 2025 , pp. 128 - 139
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

The research of the first author is supported by SERB-CRG, Govt. of India, and the research of the second author is supported by UGC-JRF.

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