Loading [MathJax]/jax/output/SVG/config.js
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, 2010, Volume 162, Number 3, Pages 334–344
DOI: https://doi.org/10.4213/tmf6474 (Mi tmf6474) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Commuting differential operators

A. B. Shabatab, Z. S. El'kanovab

a Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
b Aliev Karachaevo-Cherkesiya State University, Karachaevsk, Russia
Full-text PDF (421 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6474
Abstract: We consider a model problem, related to Bessel functions, in the theory of commutative rings of linear differential operators with one independent variable. We construct new series of such commutative rings and give simple examples of rings with three generators.
Keywords: Bessel function, commuting ring of differential operators.
Received: 07.09.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 3, Pages 276–285
DOI: https://doi.org/10.1007/s11232-010-0022-6
Bibliographic databases:
Language: Russian
Citation: A. B. Shabat, Z. S. El'kanova, “Commuting differential operators”, TMF, 162:3 (2010), 334–344; Theoret. and Math. Phys., 162:3 (2010), 276–285
Citation in format AMSBIB
\Bibitem{ShaElk10}
\by A.~B.~Shabat, Z.~S.~El'kanova
\paper Commuting differential operators
\jour TMF
\yr 2010
\vol 162
\issue 3
\pages 334--344
\mathnet{http://mi.mathnet.ru/tmf6474}
\crossref{https://doi.org/10.4213/tmf6474}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2682128}
\zmath{https://zbmath.org/?q=an:05790855}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010TMP...162..276S}
\transl
\jour Theoret. and Math. Phys.
\yr 2010
\vol 162
\issue 3
\pages 276--285
\crossref{https://doi.org/10.1007/s11232-010-0022-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000276724000002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952051600}
Linking options:
  • https://www.mathnet.ru/eng/tmf6474
  • https://doi.org/10.4213/tmf6474
  • https://www.mathnet.ru/eng/tmf/v162/i3/p334
    • This publication is cited in the following 7 articles:
    1. Yu. Yu. Bagderina, “Eigenfunctions of Ordinary Differential Euler Operators”, J. Math. Sci. (N. Y.), 252:2 (2021), 125–134  mathnet  crossref  mathscinet
    2. Van Gorder R.A., “Computing Semi-Commuting Differential Operators in One and Multiple Variables”, Math. Commun., 19:2 (2014), 201–219  mathscinet  zmath  isi
    3. F. Kh. Baichorova, Z. S. Elkanova, “Commuting differential operators of orders 4 and 6”, Ufa Math. J., 5:3 (2013), 11–19  mathnet  crossref  elib
    4. Dafeng Zuo, “Commuting differential operators of rank 3 associated to a curve of genus 2”, SIGMA, 8 (2012), 044, 11 pp.  mathnet  crossref  mathscinet
    5. A. B. Shabat, Z. S. El'kanova, A. B. Urusova, “Two-sided Darboux transformations”, Theoret. and Math. Phys., 173:2 (2012), 1507–1517  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    6. A. B. Shabat, Z. S. Elkanova, “Commuting differential operators in two-dimension”, Ufa Math. J., 3:2 (2011), 89–95  mathnet  zmath
    7. M. S. Akbasheva, A. B. Shabat, “Teorema o kommutirovanii v glavnom”, Ufimsk. matem. zhurn., 3:4 (2011), 3–7  mathnet  zmath
    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:866
    Full-text PDF :262
    References:101
    First page:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025