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

[11] The classical Dirichlet problem for the biharmonic equation in a half-strip
Gomilko, AM
DIFFERENTIAL EQUATIONS, 1998, 34 (02) : 231 - 241
[12] AN ESTIMATE FOR A DIRICHLET SERIES WHOSE EXPONENTS ARE ZEROS OF AN ENTIRE FUNCTION WITH IRREGULAR BEHAVIOR
GAISIN, AM
RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1995, 81 (01) : 163 - 183
[13] ORDER OF DIRICHLET SERIES WITH REGULAR DISTRIBUTION OF EXPONENTS IN HALF-STRIPS
Gaisin, A. M.
Gaisina, G. A.
UFA MATHEMATICAL JOURNAL, 2018, 10 (04): : 50 - 63
[14] Dirichlet problem for the mixed type equation with two degeneration lines in a half-strip
Vagapov, V. Z.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2019, 23 (01): : 7 - 19
[15] The value distribution of random Dirichlet series on the right half plane (II)
Tian, FJ
Ren, YF
ACTA MATHEMATICA SCIENTIA, 2003, 23 (03) : 426 - 432
[16] A Half-Strip with a Clamped End. A Solution in Series in Papkovich-Fadle Functions
Kovalenko, M. D.
Kerzhaev, A. P.
Menshova, I. V.
Vlasov, D. A.
MECHANICS OF SOLIDS, 2024, 59 (07) : 3769 - 3780
[17] ON THE DISTRIBUTION OF VALUES OF RANDOM DIRICHLET SERIES(II)
孙道椿
余家荣
Chinese Annals of Mathematics, 1990, (01) : 33 - 44
[18] Saint-venant's principle in the case of the low-frequency oscillations of a half-strip
1600, Elsevier Ltd (69):
[19] THE VALUE DISTRIBUTION OF RANDOM DIRICHLET SERIES ON THE RIGHT HALF PLANE (Ⅱ)
田范基
任耀峰
ActaMathematicaScientia, 2003, (03) : 426 - 432
[20] Saint-Venant's principle in the case of the low-frequency oscillations of a half-strip
Babenkova, YV
Kaplunov, YD
Ustinov, YA
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2005, 69 (03): : 405 - 416

← 1 2 3 →