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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1969 Volume 79(121), Number 4(8), Pages 463–476 (Mi sm3599)

This article is cited in 40 papers

On rays of completely regular growth of an entire function

V. S. Azarin


Abstract: This paper solves the problem of approximating a function, subharmonic in the entire plane, in a neighborhood of infinity by the logarithm of the modulus of an entire function. As an application of this result, we prove the existence of entire functions with an arbitrary closed set of rays of completely regular growth.
Bibliography: 8 titles.

UDC: 517.535.4

MSC: 30D15, 30D10, 31A05

Received: 15.11.1968


 English version:
Mathematics of the USSR-Sbornik, 1969, 8:4, 437–450

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© Steklov Math. Inst. of RAS, 2024