Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
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


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2015, Volume 98, Issue 5, Pages 651–663
DOI: https://doi.org/10.4213/mzm10801 (Mi mzm10801) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On a Remarkable Sequence of Bessel Matrices

V. M. Buchstabera, S. I. Tertychnyib

a Steklov Mathematical Institute of Russian Academy of Sciences
b All-Russian Scientific Research Institute of Physical-Technical and Radiotechnical Measurements, Mendeleevo, Moscow region
Full-text PDF (494 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10801
Abstract: A sequence of matrices whose elements are modified Bessel functions of the first kind is considered. Such a sequence arises when studying certain ordinary linear homogeneous second-order differential equations belonging to the family of double confluent Heun equations. The conjecture that these matrices are nonsingular is discussed together with its application to the problem of the existence of solutions analytic at the singular point of the equation referred to above.
Keywords: modified Bessel function of the first kind, double confluent Heun equation, Bessel matrix, Josephson junction, Laurent series, Hessenberg matrix.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00506
Received: 01.06.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 5, Pages 714–724
DOI: https://doi.org/10.1134/S0001434615110024
Bibliographic databases:
Document Type: Article
UDC: 512.643.8+517.584+517.923+517.926
MSC: 34M05
Language: Russian
Citation: V. M. Buchstaber, S. I. Tertychnyi, “On a Remarkable Sequence of Bessel Matrices”, Mat. Zametki, 98:5 (2015), 651–663; Math. Notes, 98:5 (2015), 714–724
Citation in format AMSBIB
\Bibitem{BucTer15}
\by V.~M.~Buchstaber, S.~I.~Tertychnyi
\paper On a Remarkable Sequence of Bessel Matrices
\jour Mat. Zametki
\yr 2015
\vol 98
\issue 5
\pages 651--663
\mathnet{http://mi.mathnet.ru/mzm10801}
\crossref{https://doi.org/10.4213/mzm10801}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3438522}
\elib{https://elibrary.ru/item.asp?id=24850199}
\transl
\jour Math. Notes
\yr 2015
\vol 98
\issue 5
\pages 714--724
\crossref{https://doi.org/10.1134/S0001434615110024}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000369701000002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84953244818}
Linking options:
  • https://www.mathnet.ru/eng/mzm10801
  • https://doi.org/10.4213/mzm10801
  • https://www.mathnet.ru/eng/mzm/v98/i5/p651
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:529
    Full-text PDF :98
    References:60
    First page:33
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024