<p>In this paper, we consider estimates of symmetric Toeplitz determinants <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(T_{q,n}(f)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>T</mi> <mrow> <mi>q</mi> <mo>,</mo> <mi>n</mi> </mrow> </msub> <mrow> <mo stretchy="false">(</mo> <mi>f</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> for the class <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\mathcal {U}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">U</mi> </math></EquationSource> </InlineEquation> and for the general class <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({\mathcal {S}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="script">S</mi> </math></EquationSource> </InlineEquation> for certain values of <i>q</i> and <i>n</i> (<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(q,n=1,2,3\ldots \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>q</mi> <mo>,</mo> <mi>n</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>…</mo> </mrow> </math></EquationSource> </InlineEquation>).</p>

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Symmetric Toeplitz determinants of some classes of univalent functions

  • Milutin Obradović,
  • Nikola Tuneski

摘要

In this paper, we consider estimates of symmetric Toeplitz determinants \(T_{q,n}(f)\) T q , n ( f ) for the class \({\mathcal {U}}\) U and for the general class \({\mathcal {S}}\) S for certain values of q and n ( \(q,n=1,2,3\ldots \) q , n = 1 , 2 , 3 ).