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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1978 Volume 106(148), Number 3(7), Pages 386–408 (Mi sm2583)

This article is cited in 21 papers

The Fourier series method for entire and meromorphic functions of completely regular growth

A. A. Kondratyuk


Abstract: By using the Fourier series method, we generalize the Levin–Pfluger theory of entire functions of completely regular growth in two directions: a) We introduce classes of meromorphic functions of completely regular growth; b) the growth of a function is measured with respect to an arbitrary nondecreasing continuous function $\lambda(r)$ that satisfies $\lambda(2r)/\lambda(r)=O(1)$ as $r\to\infty$.
Bibliography: 20 titles.

UDC: 517.535.4

MSC: 30D20, 30D30

Received: 31.05.1977


 English version:
Mathematics of the USSR-Sbornik, 1979, 35:1, 63–84

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© Steklov Math. Inst. of RAS, 2026