Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 359-366
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S. N. Kudryashov. On some criteria for the univalence of analytic functions. Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 359-366. http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a3/
@article{MZM_1973_13_3_a3,
author = {S. N. Kudryashov},
title = {On some criteria for the univalence of analytic functions},
journal = {Matemati\v{c}eskie zametki},
pages = {359--366},
year = {1973},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a3/}
}
TY - JOUR
AU - S. N. Kudryashov
TI - On some criteria for the univalence of analytic functions
JO - Matematičeskie zametki
PY - 1973
SP - 359
EP - 366
VL - 13
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a3/
LA - ru
ID - MZM_1973_13_3_a3
ER -
%0 Journal Article
%A S. N. Kudryashov
%T On some criteria for the univalence of analytic functions
%J Matematičeskie zametki
%D 1973
%P 359-366
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a3/
%G ru
%F MZM_1973_13_3_a3
Criteria for the univalence of functions $f(z)$ which are regular in the domain $|z|<1$ are obtained in the form of restrictions on the modulus of the quotient $f''(z)[f'(z)]^{-1}$. Analogous results are obtained also for functions which are analytic in the interior of the unit disk except for a simple pole at infinity.