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 Mat. Zametki, 2005, Volume 78, Issue 4, Pages 483–492 (Mi mz2610)

Approximation of Subharmonic Functions in the Half-Plane by the Logarithm of the Modulus of an Analytic Function

M. A. Hirnyk

Abstract: We approximate subharmonic functions defined in the open half-plane in the uniform metric outside the exceptional set by the logarithm of the modulus of an analytic (in the half-plane) function for the cases of a finite order and of an infinite lower order. We also obtain an estimate for the size of the exceptional set. It is shown that, in the case of a finite order, the obtained accuracy of the approximation cannot be essentially improved.

DOI: https://doi.org/10.4213/mzm2610

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English version:
Mathematical Notes, 2005, 78:4, 447–455

Bibliographic databases:

UDC: 517.538+517.574

Citation: M. A. Hirnyk, “Approximation of Subharmonic Functions in the Half-Plane by the Logarithm of the Modulus of an Analytic Function”, Mat. Zametki, 78:4 (2005), 483–492; Math. Notes, 78:4 (2005), 447–455

Citation in format AMSBIB
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