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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 5, Pages 1128–1138 (Mi smj919)  
Asymptotic estimates for the coefficients of bounded univalent functions

D. V. Prokhorov, A. A. Nikulin

Saratov State University named after N. G. Chernyshevsky
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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.
Keywords: univalent function, bounded function, coefficient estimate, Löwner equation, asymptotic estimate.
Received: 05.05.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 5, Pages 924–933
DOI: https://doi.org/10.1007/s11202-006-0103-9
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: D. V. Prokhorov, A. A. Nikulin, “Asymptotic estimates for the coefficients of bounded univalent functions”, Sibirsk. Mat. Zh., 47:5 (2006), 1128–1138; Siberian Math. J., 47:5 (2006), 924–933
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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