Abstract
In this paper we obtain the bound of the third Hankel determinant
for the class \({\mathcal {S}}^*\) of univalent starlike functions, i.e. the functions which satisfy in the unit disk the condition \({{\,\mathrm{Re}\,}}\frac{zf'(z)}{f(z)}>0\). In our research we apply the correspondence between starlike functions and Schwarz functions and the results obtained by Prokhorov and Szynal and by Carlson.
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Funding
The project/research was financed in the framework of the project Lublin University of Technology-Regional Excellence Initiative, funded by the Polish Ministry of Science and Higher Education (contract no. 030/RID/2018/19).
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Zaprawa, P., Obradović, M. & Tuneski, N. Third Hankel determinant for univalent starlike functions. RACSAM 115, 49 (2021). https://doi.org/10.1007/s13398-020-00977-2
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DOI: https://doi.org/10.1007/s13398-020-00977-2