Growth order of sum of Dirichlet series: dependence on coefficients and exponents

DOI10.13108/2020-12-4-30zbMath1474.30183OpenAlexW3128415126MaRDI QIDQ4987241

G. A. Gaisina

Publication date: 29 April 2021

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa534

zbMATH Keywords

Dirichlet seriesformula for the growth orderhalf-plane of convergence

Mathematics Subject Classification ID

Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (1)

Representation of analytic functions by exponential series in half-plane with given growth majorant

Cites Work

• Behavior of the sum of a series of exponentials near the boundary of the domain of regularity
• EXPONENTIAL SERIES FOR FUNCTIONS WITH SPECIFIED GROWTH NEAR THE BOUNDARY
• A BOUND FOR THE GROWTH IN A HALF-STRIP OF A FUNCTION REPRESENTED BY A DIRICHLET SERIES
• On the maximum term and maximum modulus of analytic functions represented by Dirichlet series
• The growth of Dirichlet series
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