Abstract
Recently the author presented a new approach to solving the coefficient problems for holomorphic functions based on the features of Bers’ fiber spaces for punctured Riemann surfaces. The holomorphy of functionals causes strong rigid constrains.
This paper extends the previous results to a broad class of plurisubharmonic coefficient functionals and provides new extremal features of the Koebe function.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 18, No. 3, pp. 406–418, July–September, 2021.
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Krushkal, S.L. Maximal coefficient functionals on univalent functions. J Math Sci 259, 88–96 (2021). https://doi.org/10.1007/s10958-021-05601-1
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DOI: https://doi.org/10.1007/s10958-021-05601-1