Abstract
In the class of univalent bounded normalized holomorphic functions in the unit disk, we give an asymptotic estimate for the coefficients when the uniform norm of the modulus of the function tends to infinity.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 5, pp. 1128–1138, September–October, 2006.
Original Russian Text Copyright © 2006 Prokhorov D. V. and Nikulin A. A.
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Prokhorov, D.V., Nikulin, A.A. Asymptotic estimates for the coefficients of bounded univalent functions. Sib Math J 47, 924–933 (2006). https://doi.org/10.1007/s11202-006-0103-9
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DOI: https://doi.org/10.1007/s11202-006-0103-9