THE FOURIER SERIES METHOD FOR ENTIRE AND MEROMORPHIC FUNCTIONS OF COMPLETELY REGULAR GROWTH

DOI10.1070/SM1979V035N01ABEH001452zbMath0426.30025OpenAlexW4243448525MaRDI QIDQ3861672

Andrii A. Kondratyuk

Publication date: 1979

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1979v035n01abeh001452

zbMATH Keywords

Fourier series methodentire and meromorphic functions of completely regular growthFourier- Stieltjes coefficientsregularity of growth of Fourier coefficients

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Meromorphic functions of one complex variable (general theory) (30D30) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (5)

Inverse formulas for the Fourier coefficients of meromorphic functions in a half-plane ⋮ Analytic functions of infinite order in half-plane ⋮ Integral formulas of Carleman and Levin for meromorphic and subharmonic functions ⋮ Growth regularity for the arguments of meromorphic in $\mathbb C\setminus\{0\}$ functions of completely regular growth ⋮ The meromorphic functions of completely regular growth on the upper half-plane

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