Asymptotic behavior of the sum of the Dirichlet series of prescribed growth on curves

DOI10.1007/S11006-005-0096-XzbMath1112.30005OpenAlexW2064913638MaRDI QIDQ2577342

I. D. Latypov, A. M. Gaisin

Publication date: 19 December 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0096-x

zbMATH Keywords

entire functionDirichlet seriesorder in the Ritt sense

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 (3)

Regular growth of Dirichlet series of the class D(Ф) on curves of bounded K-slope ⋮ Asymptotic growth on curves of a Dirichlet series with regular dominant on a sequence of points ⋮ Estimation on curves of Dirichlet series with a convex growth majorant

Cites Work

• Unnamed Item
• Asymptotics of the logarithm of the maximal term of the modified Dirichlet series
• Some theorems on boundedness of analytic functions

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