Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 1997, Volume 188, Issue 8, Pages 1235–1258
DOI: https://doi.org/10.1070/sm1997v188n08ABEH000248 (Mi sm248) 		 
This article is cited in 2 scientific papers (total in 2 papers)

$q$-integral representations of modified $q$-Bessel functions and $q$-Macdonald functions

M. A. Olshanetskya, V.-B. K. Rogovb

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b Moscow State University of Railway Communications
English version PDF (272 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm1997v188n08ABEH000248
Abstract: The $q$-analogues of modified Bessel functions and Macdonald functions were defined in the previous paper of the authors as general solutions of certain second-order difference equations. Several representations of these functions based on the Jackson integral are presented.
Received: 20.08.1996
Russian version:
Matematicheskii Sbornik, 1997, Volume 188, Number 8, Pages 125–148
DOI: https://doi.org/10.4213/sm248
Bibliographic databases:
UDC: 517.58
MSC: Primary 33C10; Secondary 33Dxx
Language: English
Original paper language: Russian
Citation: M. A. Olshanetsky, V.-B. K. Rogov, “$q$-integral representations of modified $q$-Bessel functions and $q$-Macdonald functions”, Mat. Sb., 188:8 (1997), 125–148; Sb. Math., 188:8 (1997), 1235–1258
Citation in format AMSBIB
\Bibitem{OlsRog97}
\by M.~A.~Olshanetsky, V.-B.~K.~Rogov
\paper $q$-integral representations of modified $q$-Bessel functions and $q$-Macdonald functions
\jour Mat. Sb.
\yr 1997
\vol 188
\issue 8
\pages 125--148
\mathnet{http://mi.mathnet.ru/sm248}
\crossref{https://doi.org/10.4213/sm248}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1481400}
\zmath{https://zbmath.org/?q=an:0917.33013}
\elib{https://elibrary.ru/item.asp?id=13270571}
\transl
\jour Sb. Math.
\yr 1997
\vol 188
\issue 8
\pages 1235--1258
\crossref{https://doi.org/10.1070/sm1997v188n08ABEH000248}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997YJ74900016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0031286456}
Linking options:
  • https://www.mathnet.ru/eng/sm248
  • https://doi.org/10.1070/sm1997v188n08ABEH000248
  • https://www.mathnet.ru/eng/sm/v188/i8/p125
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:553
    Russian version PDF:156
    English version PDF:11
    References:67
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024