Geodesic
On the mutual growth of neighboring coefficients of univalent functions
Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 715-722.

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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: $||c_{n+1}|-|c_n||4.26$, $n=1,2,\dots$ 
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     author = {L. P. Il'ina},
     title = {On the mutual growth of neighboring coefficients of univalent functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {715--722},
     publisher = {mathdoc},
     volume = {4},
     number = {6},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a11/}
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L. P. Il'ina. On the mutual growth of neighboring coefficients of univalent functions. Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 715-722. http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a11/