Asymptotic behavior of entire functions of improved regular growth in the metric of $L^p[0, 2\pi]$

DOI10.15330/CMP.5.2.341-344zbMath1382.30054OpenAlexW2081744463MaRDI QIDQ2941998

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.5.2.341-344

zbMATH Keywords

Hausdorff-Young theoremFourier coefficientsentire function of improved regular growthfinite system of rays

Mathematics Subject Classification ID

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

Related Items (2)

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
• 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.
• Asymptotic behavior of averaging of entire functions of improved regular growth
• Criteria for the regularity of growth of the logarithm of modulus and the argument of an entire function
• Minimum-Area ellipse containing a finite set of points. I

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