Polya type equality for Dirichlet series of the class \(D(\Phi )\) on curves

DOI10.1134/S1995080224603199MaRDI QIDQ6649007

R. A. Gaĭsin, A. M. Gaisin, N. N. Aitkuzhina

Publication date: 5 December 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

entire Dirichlet seriescurves of bounded slope

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)

Cites Work

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• Representation of entire functions by series of exponentials
• Behavior of the sum of a Dirichlet series having a prescribed growth
• Growth on the real axis of an entire function represented by a Dirichlet series
• Untersuchungen über Lücken und Singularitäten von Potenzreihen.
• Asymptotic behavior of the sum of the Dirichlet series of prescribed growth on curves
• ON AN ESTIMATE FOR A FUNCTION REPRESENTED BY A DIRICHLET SERIES
• Estimates of the growth and decrease on curves of an entire function of infinite order
• On the Coefficients and the Growth of Gap Power Series
• Closure Theorems with Applications to Entire Functions with Gaps
• Regular growth of Dirichlet series of the class D(Ф) on curves of bounded K-slope

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