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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1983 Volume 120(162), Number 3, Pages 331–343 (Mi sm2133)

This article is cited in 12 papers

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

A. A. Kondratyuk


Abstract: A theorem is proved on the asymptotic behavior of meromorphic functions of completely regular growth (as previously defined by the author) as $r\to\infty$ outside a set of zero linear density.
For entire functions of completely regular growth a uniformity property is established, and some of its applications are presented. An upper bound for the number of deficient values (in the sense of R. Nevanlinna) of such functions is also obtained.
Bibliography: 11 titles.

UDC: 517.535.4

MSC: 30D15, 30D35

Received: 21.12.1980


 English version:
Mathematics of the USSR-Sbornik, 1984, 48:2, 327–338

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© Steklov Math. Inst. of RAS, 2026