Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 2, Pages 229–240
DOI: https://doi.org/10.4213/tmf6724 (Mi tmf6724) 		 
This article is cited in 4 scientific papers (total in 4 papers)

$N$-symmetric Chebyshev polynomials in a composite model of a generalized oscillator

V. V. Borzova, E. V. Damaskinskyb

a Saint-Petersburg State University of Telecommunications, St. Petersburg, Russia
b Saint Petersburg Military Engineering-Technical University, St. Petersburg, Russia
Full-text PDF (428 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6724
Abstract: We continue to study a composite model of a generalized oscillator generated by an $N$-periodic Jacobi matrix. The foundation of the model is a system of orthogonal polynomials connected to this matrix for $N=3,4,5$. We show that such polynomials do not exist for $N\ge6$.
Keywords: generalized oscillator, Chebyshev polynomial, classical moment problem.
Received: 19.11.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 2, Pages 1561–1572
DOI: https://doi.org/10.1007/s11232-011-0133-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Borzov, E. V. Damaskinsky, “$N$-symmetric Chebyshev polynomials in a composite model of a generalized oscillator”, TMF, 169:2 (2011), 229–240; Theoret. and Math. Phys., 169:2 (2011), 1561–1572
Citation in format AMSBIB
\Bibitem{BorDam11}
\by V.~V.~Borzov, E.~V.~Damaskinsky
\paper $N$-symmetric Chebyshev polynomials in a~composite model of a~generalized oscillator
\jour TMF
\yr 2011
\vol 169
\issue 2
\pages 229--240
\mathnet{http://mi.mathnet.ru/tmf6724}
\crossref{https://doi.org/10.4213/tmf6724}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3171186}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011TMP...169.1561B}
\transl
\jour Theoret. and Math. Phys.
\yr 2011
\vol 169
\issue 2
\pages 1561--1572
\crossref{https://doi.org/10.1007/s11232-011-0133-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000297912700005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83055161759}
Linking options:
  • https://www.mathnet.ru/eng/tmf6724
  • https://doi.org/10.4213/tmf6724
  • https://www.mathnet.ru/eng/tmf/v169/i2/p229
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:432
    Full-text PDF :191
    References:74
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024