Regularity of growth of Fourier coefficients of entire functions of improved regular growth

DOI10.1007/S11253-012-0624-2zbMath1253.42006OpenAlexW2005571668MaRDI QIDQ1760033

R. V. Khats'

Publication date: 23 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0624-2

zbMATH Keywords

entire functionimproved regular growth

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (4)

Asymptotic behavior of averaging of entire functions of improved regular growth ⋮ 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Asymptotic behavior of the~logarithmic derivatives and the logarithms of meromorphic functions of completely regular growth in \(L^p[0,2\pi\)-metric. II]
• On the Fourier coefficients of one class of entire functions.
• 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

This page was built for publication: Regularity of growth of Fourier coefficients of entire functions of improved regular growth