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Mat. Zametki, 1968, Volume 4, Issue 6, Pages 715–722 (Mi mz6792)  

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: $||c_{n+1}|-|c_n||<4.26$, $n=1,2,…$

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

Bibliographic databases:

UDC: 517.5
Received: 23.11.1967

Citation: L. P. Il'ina, “On the mutual growth of neighboring coefficients of univalent functions”, Mat. Zametki, 4:6 (1968), 715–722; Math. Notes, 4:6 (1968), 918–922

Citation in format AMSBIB
\Bibitem{Ili68}
\by L.~P.~Il'ina
\paper On the mutual growth of neighboring coefficients of univalent functions
\jour Mat. Zametki
\yr 1968
\vol 4
\issue 6
\pages 715--722
\mathnet{http://mi.mathnet.ru/mz6792}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=240295}
\zmath{https://zbmath.org/?q=an:0181.08301|0176.03301}
\transl
\jour Math. Notes
\yr 1968
\vol 4
\issue 6
\pages 918--922
\crossref{https://doi.org/10.1007/BF01110829}


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