Asymptotic behavior of averaging of entire functions of improved regular growth

DOI10.15330/CMP.5.1.129-133zbMath1391.30037OpenAlexW1975621563MaRDI QIDQ2941964

R. V. Khats'

Publication date: 26 August 2015

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.5.1.129-133

zbMATH Keywords

Fourier series methodentire function of completely regular growthentire function of improved regular growth

Mathematics Subject Classification ID

Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (3)

Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi$] ⋮ A criterion for the improved regular growth of an entire function in terms of the asymptotic behavior of its logarithmic derivative in the metric of \(L^q[0; 2 \pi \)] ⋮ Asymptotic behavior of the logarithms of entire functions of improved regular growth in the metric of \(L^q[0, 2 \pi \)]

Cites Work

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• On entire functions of improved regular growth of integer order with zeros on a finite system of rays
• Asymptotic behavior of the logarithmic derivatives and the logarithms of meromorphic functions of completely regular growth. I
• Regularity of growth of Fourier coefficients of entire functions of improved regular growth
• On growth regularity of an entire function of nonentire order with zeros on a finite system of rays.

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