Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 5, Pages 1147–1156 (Mi smj2336)  
Groups of partial differential operators and the generalized Bessel functions

M. D. Khriptun

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (303 kB)
References:
PDF
HTML
Abstract: Considering the generalized Bessel functions satisfying a special ordinary differential equation of mth order, we derive some addition theorems and generating functions with the help of some algebra constructed for a group of first order partial differential operators grounding on the recurrence relations for these functions.
Keywords: GBF, recurrence relation, generating function, addition theorem.
Received: 11.11.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 5, Pages 918–926
DOI: https://doi.org/10.1134/S0037446612050163
Bibliographic databases:
Document Type: Article
UDC: 512.813+517.923+517.58
Language: Russian
Citation: M. D. Khriptun, “Groups of partial differential operators and the generalized Bessel functions”, Sibirsk. Mat. Zh., 53:5 (2012), 1147–1156; Siberian Math. J., 53:5 (2012), 918–926
Citation in format AMSBIB
\Bibitem{Khr12}
\by M.~D.~Khriptun
\paper Groups of partial differential operators and the generalized Bessel functions
\jour Sibirsk. Mat. Zh.
\yr 2012
\vol 53
\issue 5
\pages 1147--1156
\mathnet{http://mi.mathnet.ru/smj2336}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3057933}
\transl
\jour Siberian Math. J.
\yr 2012
\vol 53
\issue 5
\pages 918--926
\crossref{https://doi.org/10.1134/S0037446612050163}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000310374900016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84868124019}
Linking options:
  • https://www.mathnet.ru/eng/smj2336
  • https://www.mathnet.ru/eng/smj/v53/i5/p1147
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:216
    Full-text PDF :82
    References:50
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024