The growth of entire Dirichlet series in terms of generalized orders

DOI10.1070/SM8644zbMath1393.30004OpenAlexW2770153972MaRDI QIDQ4568581

P. V. Filevych, T. Ya. Hlova

Publication date: 22 June 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8644

zbMATH Keywords

maximum modulusgeneralized ordermaximum term

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (5)

The generalized lower order of Dirichlet series ⋮ The growth of the maximal term of Dirichlet series ⋮ Global estimates for sums of absolutely convergent Dirichlet series in a half-plane ⋮ On regular variation of entire Dirichlet series ⋮ THE GROWTH OF ENTIRE FUNCTION IN THE FORM OF VECTOR VALUED DIRICHLET SERIES IN TERMS OF (p, q)-TH RELATIVE RITT ORDER AND (p, q)-TH RELATIVE RITT TYPE

Cites Work

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• On a property of the entire Dirichlet series with decreasing coefficients
• On relations between the abscissa of convergence and the abscissa of absolute convergence of random Dirichlet series
• On certain relations between the maximum modulus and the maximal term of an entire Dirichlet series
• On Valiron's theorem on the relations between the maximum modulus and the maximal term of an entire Dirichlet series

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