On the Regularity of Growth of Canonical Products with Real Zeros
Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 621-630
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We obtain a criterion for totally regular growth of canonical products with real symmetric zeros, which involves a generalization of the notion of condensation index of a sequence of positive numbers of a finite upper density.
Keywords:
canonical product, Weierstrass product, upper density, function of exponential type, function of totally regular growth.
Mots-clés : condensation index
Mots-clés : condensation index
@article{MZM_2007_82_4_a16,
author = {V. B. Sherstyukov},
title = {On the {Regularity} of {Growth} of {Canonical} {Products} with {Real} {Zeros}},
journal = {Matemati\v{c}eskie zametki},
pages = {621--630},
publisher = {mathdoc},
volume = {82},
number = {4},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a16/}
}
V. B. Sherstyukov. On the Regularity of Growth of Canonical Products with Real Zeros. Matematičeskie zametki, Tome 82 (2007) no. 4, pp. 621-630. http://geodesic.mathdoc.fr/item/MZM_2007_82_4_a16/