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Research Article | Open Access

On logarithmic coefficients for starlike functions related to nephroid domain

Wahid Ullah1( ), Sarfraz Nawaz Malik1, Daniel Breaz2( ), Luminita-Ioana Cotirla3
Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan
Department of Mathematics, "1 Decembrie 1918" University of Alba Iulia, 510009 Alba Iulia, Romania
Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania
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Abstract

Logarithmic functions are widely used in mathematics and other fields for various applications. As far as we know, no one has used the bounds for the third Hankel determinant using the coefficients of logarithmic functions. This article examined various classes of starlike functions and addressed the problem of the third Hankel determinant concerning logarithmic coefficients for special subclasses related to nephroid functions. Several coefficient estimates were derived, and some of these results were proven to be sharp.

Keywords

analytic functionsSchwarz functionsHankel determinantCaratheodory functionslogarithmic coefficientsstarlike functions
CLC number: 30C45, 30C80

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AIMS Mathematics
Volume 10 Issue 11,
November 2025
Pages 26905-26925
DOI: 10.3934/math.20251183

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Cite this article:
Ullah W, Malik SN, Breaz D, et al. On logarithmic coefficients for starlike functions related to nephroid domain. AIMS Mathematics, 2025, 10(11): 26905-26925. https://doi.org/10.3934/math.20251183

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Received: 15 May 2025
Revised: 19 September 2025
Accepted: 26 September 2025
Published: 20 November 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)