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<p>In this paper, we study several coefficient problems for functions belonging to the class <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal {S}^{*}_{\textrm{car}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow> <mi mathvariant="script">S</mi> </mrow> <mtext>car</mtext> <mrow> <mrow /> <mo>∗</mo> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation>. Sharp bounds are obtained for the logarithmic and logarithmic inverse coefficients, as well as for their differences. Furthermore, we derive precise estimates of Toeplitz determinants associated with these coefficients and establish a generalized Fekete–Szegö functional for the same class.</p>

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Logarithmic coefficient problems in the class of starlike functions associated with a cardioid domain

  • 期刊论文

  • 发表日期：

    2026年1月10日

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  • Nabadwip Sarkar

摘要

In this paper, we study several coefficient problems for functions belonging to the class \(\mathcal {S}^{*}_{\textrm{car}}\) S car ∗ . Sharp bounds are obtained for the logarithmic and logarithmic inverse coefficients, as well as for their differences. Furthermore, we derive precise estimates of Toeplitz determinants associated with these coefficients and establish a generalized Fekete–Szegö functional for the same class.