The Fourier series method for entire and meromorphic functions of completely regular growth. III
Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 327-338
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A theorem is proved on the asymptotic behavior of meromorphic functions of completely regular growth (as previously defined by the author) as $r\to\infty$ outside a set of zero linear density. For entire functions of completely regular growth a uniformity property is established, and some of its applications are presented. An upper bound for the number of deficient values (in the sense of R. Nevanlinna) of such functions is also obtained. Bibliography: 11 titles.
@article{SM_1984_48_2_a2,
author = {A. A. Kondratyuk},
title = {The {Fourier} series method for entire and meromorphic functions of completely regular {growth.~III}},
journal = {Sbornik. Mathematics},
pages = {327--338},
year = {1984},
volume = {48},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1984_48_2_a2/}
}
A. A. Kondratyuk. The Fourier series method for entire and meromorphic functions of completely regular growth. III. Sbornik. Mathematics, Tome 48 (1984) no. 2, pp. 327-338. http://geodesic.mathdoc.fr/item/SM_1984_48_2_a2/