On the type of entire and meromorphic functions
Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 293-301
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A sharp estimate is obtained for the infimum of the types of the entire functions $f$ vanishing on a sequence $\Lambda$ when the averaged counting function $ N(r,\,\Lambda)$ of the sequence has known type, and a best possible estimate is obtained for the types of the entire functions $g$ and $h$ in a representation of a meromorphic function $f=g/h$ when the Nevanlinna characteristic $T(r,\, f)$ has known type.
@article{SM_1994_77_2_a2,
author = {B. N. Khabibullin},
title = {On the type of entire and meromorphic functions},
journal = {Sbornik. Mathematics},
pages = {293--301},
publisher = {mathdoc},
volume = {77},
number = {2},
year = {1994},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1994_77_2_a2/}
}
B. N. Khabibullin. On the type of entire and meromorphic functions. Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 293-301. http://geodesic.mathdoc.fr/item/SM_1994_77_2_a2/