Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 5, Pages 56–66 (Mi ivm8704)  
This article is cited in 7 scientific papers (total in 7 papers)

Double $SO(2,1)$-integrals and formulas for Whittaker functions

I. A. Shilinab

a Chair of Mathematical Modeling, Sholokhov Moscow State University for the Humanities, Moscow, Russia
b Chair of Higher Mathematics, Moscow Aviation Institute (National Research University), Moscow, Russia
Full-text PDF (225 kB) Citations (7)
References:
PDF
HTML
Abstract: With the help of some double integral bilinear functionals with homogeneous kernels defined on a pair of representation spaces of the group $SO(2,1)$ we obtain some functional relations for Whittaker functions and calculate the sum of one series of Gauss hypergeometric functions converging to a Whittaker function.
Keywords: Whittaker functions, group $SO(2,1)$, integral transform.
Received: 24.05.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 5, Pages 47–56
DOI: https://doi.org/10.3103/S1066369X12050064
Bibliographic databases:
Document Type: Article
UDC: 517.444+517.588
Language: Russian
Citation: I. A. Shilin, “Double $SO(2,1)$-integrals and formulas for Whittaker functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 5, 56–66; Russian Math. (Iz. VUZ), 56:5 (2012), 47–56
Citation in format AMSBIB
\Bibitem{Shi12}
\by I.~A.~Shilin
\paper Double $SO(2,1)$-integrals and formulas for Whittaker functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 5
\pages 56--66
\mathnet{http://mi.mathnet.ru/ivm8704}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076890}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 5
\pages 47--56
\crossref{https://doi.org/10.3103/S1066369X12050064}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862654138}
Linking options:
  • https://www.mathnet.ru/eng/ivm8704
  • https://www.mathnet.ru/eng/ivm/y2012/i5/p56
    • 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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:424
    Full-text PDF :106
    References:63
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024