This article is cited in 3 papers

On the mutual growth of neighboring coefficients of univalent functions

L. P. Il'ina

Leningrad Mining Institute

Abstract: In the class $S$ of functions $f(z)=z+c_2z^2+c_3z^3+\dotsb$, regular and univalent in $|z|<1$, the following bound is obtained: $||c_{n+1}|-|c_n||<4.26$, $n=1,2,\dots$

UDC: 517.5

Received: 23.11.1967

 English version: Mathematical Notes, 1968, 4:6, 918–922

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