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THE THIRD HANKEL DETERMINANT FOR INVERSE COEFFICIENTS OF CONVEX FUNCTIONS

Part of: Geometric function theory

Published online by Cambridge University Press:  02 May 2023

MOHSAN RAZA Open the ORCID record for MOHSAN RAZA [Opens in a new window] ,
AMINA RIAZ Open the ORCID record for AMINA RIAZ [Opens in a new window]  and
DEREK K. THOMAS Open the ORCID record for DEREK K. THOMAS [Opens in a new window]
MOHSAN RAZA*
Affiliation:
Department of Mathematics, Government College University, Faisalabad, Pakistan
AMINA RIAZ
Affiliation:
Department of Mathematics, COMSATS University Isalamabad, Lahore Campus, Pakistan e-mail: aymnariaz@gmail.com
DEREK K. THOMAS
Affiliation:
School of Mathematics and Computer Science, Swansea University, Bay Campus, Swansea SA1 8EN, UK e-mail: d.k.thomas@swansea.ac.uk
*
e-mail: mohsan976@yahoo.com
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Abstract

The sharp bound for the third Hankel determinant for the coefficients of the inverse function of convex functions is obtained, thus answering a recent conjecture concerning invariance of coefficient functionals for convex functions.

Keywords

univalentstarlikeconvex functionHankel determinantinverse coefficientsinvariance

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

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 109 , Issue 1 , February 2024 , pp. 94 - 100
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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