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This article is cited in 41 scientific papers (total in 41 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.
Received: 15.11.1968
Citation:
V. S. Azarin, “On rays of completely regular growth of an entire function”, Mat. Sb. (N.S.), 79(121):4(8) (1969), 463–476; Math. USSR-Sb., 8:4 (1969), 437–450
Linking options:
https://www.mathnet.ru/eng/sm3599https://doi.org/10.1070/SM1969v008n04ABEH001123 https://www.mathnet.ru/eng/sm/v121/i4/p463
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Abstract page: | 584 | Russian version PDF: | 186 | English version PDF: | 11 | References: | 60 |
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