On the Jenkins covering circle theorem for holomorphic functions in a~disk
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 60-73
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The well-known Jenkins' theorem on values omitted by univalent functions is extended for some meromorphic $p$-valent functions in the unit disk. The multiplicity of the function covering and the values of the functions in the critical points is taken into account.
@article{ZNSL_2013_418_a3,
author = {V. N. Dubinin},
title = {On the {Jenkins} covering circle theorem for holomorphic functions in a~disk},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {60--73},
publisher = {mathdoc},
volume = {418},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a3/}
}
V. N. Dubinin. On the Jenkins covering circle theorem for holomorphic functions in a~disk. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 60-73. http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a3/