An estimate for the Dirichlet series in a half-strip in the case of the irregular distribution of exponents. II

被引：3

作者：

Gaisin, A. M. ^{[1
]}

Sergeeva, D. I. ^{[1
]}

机构：

[1] Ctr Comp, Inst Math, Ufa, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2008年 / 49卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

order of the Dirichlet series in a half-strip;

D O I：

10.1007/s11202-008-0023-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Dirichlet series that are convergent only in a half-plane and whose sequence of exponents extends to a "regular" sequence. We establish some unimprovable estimates for the order of the sum of the Dirichlet series in a half-strip whose width depends on the special distribution density of the exponents.

引用

页码：222 / 238

页数：17

共 27 条

[1] An estimate for the Dirichlet series in a half-strip in the case of the irregular distribution of exponents. II
A. M. Gaisin
D. I. Sergeeva
Siberian Mathematical Journal, 2008, 49 : 222 - 238
[2] The Order of the Dirichlet Series in the Half-Strip
Gaisin A.M.
Aitkuzhina N.N.
Journal of Mathematical Sciences, 2019, 241 (6) : 686 - 700
[3] TWO-SIDED K-ORDER ESTIMATE FOR DIRICHLET SERIES IN A HALF-STRIP
Aitkuzhina, N. N.
Gaisin, A. M.
UFA MATHEMATICAL JOURNAL, 2014, 6 (04): : 18 - 30
[4] ORDER OF A DIRICHLET SERIES WITH IRREGULAR DISTRIBUTION OF THE EXPONENTS IN HALF-STRIPS
Gaisin, A. M.
Aitkuzhina, N. N.
ST PETERSBURG MATHEMATICAL JOURNAL, 2019, 30 (04) : 639 - 653
[5] Note on Dirichlet series with complex exponents.
Ritt, JF
ANNALS OF MATHEMATICS, 1925, 26 : 144 - 144
[6] A BOUND FOR THE GROWTH IN A HALF-STRIP OF A FUNCTION REPRESENTED BY A DIRICHLET SERIES
GAISIN, AM
MATHEMATICS OF THE USSR-SBORNIK, 1982, 117 (03): : 411 - 422
[7] Note on Dirichlet's series with complex exponents.
Hille, E
ANNALS OF MATHEMATICS, 1924, 25 : 261 - 278
[8] THE DIRICHLET PROBLEM FOR BIHARMONIC EQUATION IN THE HALF-STRIP
GOMILKO, AM
MELESHKO, VV
DOKLADY AKADEMII NAUK SSSR, 1987, 294 (05): : 1045 - 1048
[9] Dirichlet problem for equations of mixed type in a half-strip
K. B. Sabitov
Differential Equations, 2007, 43 : 1453 - 1458
[10] Dirichlet problem for equations of mixed type in a half-strip
Sabitov, K. B.
DIFFERENTIAL EQUATIONS, 2007, 43 (10) : 1453 - 1458

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