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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2016 Volume 100, Issue 6, Pages 781–789 (Mi mzm11320)

This article is cited in 5 papers

Analytic Complexity of Functions of Several Variables

V. K. Beloshapka

Lomonosov Moscow State University

Abstract: An approach to estimating the complexity of analytic functions of arbitrarily many variables is proposed. A description of harmonic functions of complexity one of three variables and of algebraic functions of complexity one of arbitrarily many variables is given.

Keywords: analytic complexity, harmonic functions, algebraic functions.

UDC: 517.54

PACS: 32A17

Received: 25.06.2016

DOI: 10.4213/mzm11320


 English version:
Mathematical Notes, 2016, 100:6, 774–780

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