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Matematicheskie Zametki, 2024, Volume 116, Issue 2, Pages 229–235
DOI: https://doi.org/10.4213/mzm14315
(Mi mzm14315)
 

Blaschke products and Smale's conjecture on complex polynomials

V. N. Dubinin

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
References:
Abstract: An analog of Smale's well-known mean value conjecture for complex polynomials is considered in the case of finite Blaschke products.
Keywords: polynomial, rational functions, Smale's conjecture, Blaschke product.
Funding agency Grant number
Russian Science Foundation No 23-21-00056
This work was financially supported by the Russian Science Foundation, grant no. 23-21-00056, https://rscf.ru/en/project/23-21-00056/.
Received: 18.03.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 2, Pages 252–257
DOI: https://doi.org/10.1134/S0001434624070198
Bibliographic databases:
Document Type: Article
UDC: 517.535
MSC: 30C15
Language: Russian
Citation: V. N. Dubinin, “Blaschke products and Smale's conjecture on complex polynomials”, Mat. Zametki, 116:2 (2024), 229–235; Math. Notes, 116:2 (2024), 252–257
Citation in format AMSBIB
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\by V.~N.~Dubinin
\paper Blaschke products and Smale's conjecture on complex polynomials
\jour Mat. Zametki
\yr 2024
\vol 116
\issue 2
\pages 229--235
\mathnet{http://mi.mathnet.ru/mzm14315}
\crossref{https://doi.org/10.4213/mzm14315}
\transl
\jour Math. Notes
\yr 2024
\vol 116
\issue 2
\pages 252--257
\crossref{https://doi.org/10.1134/S0001434624070198}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85207159483}
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  • https://www.mathnet.ru/eng/mzm14315
  • https://doi.org/10.4213/mzm14315
  • https://www.mathnet.ru/eng/mzm/v116/i2/p229
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