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This article is cited in 1 scientific paper (total in 1 paper)
$k$-order estimate for Dirichlet series in a half-strip
N. N. Aitkuzhinaa, A. M. Gaisinab a Bashkir State University, Ufa, Russia
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
Abstract:
We study Dirichlet series converging only in a half-plane and whose sequence of exponents can be extended to some “right” sequence. We establish the best possible $k$-order estimates for the sum of the Dirichlet series in the half-strip whose width depends on a special distribution density of the exponents.
Keywords:
$k$-order of the Dirichlet series in a half-strip, entire functions of a given growth on the real.
Received: 24.09.2014
Citation:
N. N. Aitkuzhina, A. M. Gaisin, “$k$-order estimate for Dirichlet series in a half-strip”, Ufimsk. Mat. Zh., 6:4 (2014), 19–31; Ufa Math. J., 6:4 (2014), 18–30
Linking options:
https://www.mathnet.ru/eng/ufa257https://doi.org/10.13108/2014-6-4-18 https://www.mathnet.ru/eng/ufa/v6/i4/p19
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Abstract page: | 259 | Russian version PDF: | 145 | English version PDF: | 11 | References: | 59 |
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