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Sbornik: Mathematics, 2006, Volume 197, Issue 6, Pages 813–833
DOI: https://doi.org/10.1070/SM2006v197n06ABEH003779 (Mi sm1569) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Properties of series of exponentials whose exponents satisfy to a condition of Levinson type

A. M. Gaisin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
English version PDF (334 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM2006v197n06ABEH003779
Abstract: Let sequence $\{\lambda_n\}$, $0<\lambda_n\uparrow\infty$, satisfies to a condition of Levinson type. It is obtained exact estimate of growth of the Dirichlet series $f(z)=\sum_{n=1}^\infty a_ne^{\lambda_nz}$ on the curve of bounded slope, depending only on its coefficients and exponents.
Received: 10.07.2003 and 16.05.2005
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 6, Pages 25–46
DOI: https://doi.org/10.4213/sm1569
Bibliographic databases:
UDC: 517.53
MSC: 30D15
Language: English
Original paper language: Russian
Citation: A. M. Gaisin, “Properties of series of exponentials whose exponents satisfy to a condition of Levinson type”, Mat. Sb., 197:6 (2006), 25–46; Sb. Math., 197:6 (2006), 813–833
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:473
    Russian version PDF:194
    English version PDF:2
    References:42
    First page:3
     
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