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Sbornik: Mathematics, 2002, Volume 193, Issue 10, Pages 1469–1492
DOI: https://doi.org/10.1070/SM2002v193n10ABEH000690 (Mi sm690) 		 
This article is cited in 42 scientific papers (total in 42 papers)

On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions

J. J. Carmonaa, P. V. Paramonovb, K. Yu. Fedorovskiyc

a Universitat Autònoma de Barcelona
b M. V. Lomonosov Moscow State University
c Institute of Information Systems in Management at the State University of Management
English version PDF (314 kB) Citations (42)
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DOI: https://doi.org/10.1070/SM2002v193n10ABEH000690
Abstract: New necessary and sufficient conditions for the uniform approximability of functions by polyanalytic polynomials and polyanalytic rational functions on compact subsets of the plane are established. Connections between these approximation problems and the Dirichlet problem for bianalytic functions are also analysed.
Received: 26.02.2002
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 10, Pages 75–98
DOI: https://doi.org/10.4213/sm690
Bibliographic databases:
UDC: 517.538.5+517.956.2
MSC: 30G20, 30E25
Language: English
Original paper language: Russian
Citation: J. J. Carmona, P. V. Paramonov, K. Yu. Fedorovskiy, “On uniform approximation by polyanalytic polynomials and the Dirichlet problem for bianalytic functions”, Mat. Sb., 193:10 (2002), 75–98; Sb. Math., 193:10 (2002), 1469–1492
Citation in format AMSBIB
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    • This publication is cited in the following 42 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:15
    References:41
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