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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 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

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.

UDC: 517.54

Received: 05.05.2005


 English version: Siberian Mathematical Journal, 2006, 47:5, 924–933

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© Steklov Math. Inst. of RAS, 2024