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 Tr. Mat. Inst. Steklova, 2016, Volume 293, Pages 133–145 (Mi tm3709)

An analog of Gonchar's theorem for the $m$-point version of Leighton's conjecture

V. I. Buslaev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: Gonchar's theorem on the validity of Leighton's conjecture for arbitrary nondecreasing sequences of exponents of general $C$-fractions is extended to continued fractions of a more general form.

 Funding Agency Grant Number Russian Science Foundation 14-50-00005 This work is supported by the Russian Science Foundation under grant 14-50-00005.

DOI: https://doi.org/10.1134/S0371968516020096

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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 293, 127–139

Bibliographic databases:

UDC: 517.53

Citation: V. I. Buslaev, “An analog of Gonchar's theorem for the $m$-point version of Leighton's conjecture”, Function spaces, approximation theory, and related problems of mathematical analysis, Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii, Tr. Mat. Inst. Steklova, 293, MAIK Nauka/Interperiodica, Moscow, 2016, 133–145; Proc. Steklov Inst. Math., 293 (2016), 127–139

Citation in format AMSBIB
\Bibitem{Bus16} \by V.~I.~Buslaev \paper An analog of Gonchar's theorem for the $m$-point version of Leighton's conjecture \inbook Function spaces, approximation theory, and related problems of mathematical analysis \bookinfo Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii \serial Tr. Mat. Inst. Steklova \yr 2016 \vol 293 \pages 133--145 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3709} \crossref{https://doi.org/10.1134/S0371968516020096} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3628475} \elib{http://elibrary.ru/item.asp?id=26344474} \transl \jour Proc. Steklov Inst. Math. \yr 2016 \vol 293 \pages 127--139 \crossref{https://doi.org/10.1134/S008154381604009X} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000380722200009} \elib{http://elibrary.ru/item.asp?id=27120137} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84980005545} 

• http://mi.mathnet.ru/eng/tm3709
• https://doi.org/10.1134/S0371968516020096
• http://mi.mathnet.ru/eng/tm/v293/p133

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. I. Buslaev, “The Capacity of the Rational Preimage of a Compact Set”, Math. Notes, 100:6 (2016), 781–790
2. S. P. Suetin, “An Analog of Pólya's Theorem for Multivalued Analytic Functions with Finitely Many Branch Points”, Math. Notes, 101:5 (2017), 888–898
3. V. I. Buslaev, “On the Van Vleck Theorem for Limit-Periodic Continued Fractions of General Form”, Proc. Steklov Inst. Math., 298 (2017), 68–93
4. V. I. Buslaev, “Continued fractions with limit periodic coefficients”, Sb. Math., 209:2 (2018), 187–205
5. V. I. Buslaev, “On Singular points of Meromorphic Functions Determined by Continued Fractions”, Math. Notes, 103:4 (2018), 527–536
6. S. P. Suetin, “On a new approach to the problem of distribution of zeros of Hermite–Padé polynomials for a Nikishin system”, Proc. Steklov Inst. Math., 301 (2018), 245–261
7. V. I. Buslaev, “Schur's criterion for formal power series”, Sb. Math., 210:11 (2019), 1563–1580
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