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Mathematics of the USSR-Sbornik, 1970, Volume 10, Issue 2, Pages 173–179
DOI: https://doi.org/10.1070/SM1970v010n02ABEH001593 (Mi sm3369) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Integral relations for the Whittaker functions and the representations of the three-dimensional Lorentz group

N. Ya. Vilenkin, M. A. Shleinikova
English version PDF (270 kB) Citations (7)
References:
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DOI: https://doi.org/10.1070/SM1970v010n02ABEH001593
Abstract: We construct elements of the matrix which connects different bases for class I representations of the group $SO(2,1)$. These matrix elements are expressed in terms of Whittaker functions. In this way integral relations are obtained for these and orhte special functions.
Bibliography: 5 titles.
Received: 29.10.1968
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 81(123), Number 2, Pages 185–191
Bibliographic databases:
UDC: 517.516
MSC: 22E43, 33C15, 31B10, 33Exx
Language: English
Original paper language: Russian
Citation: N. Ya. Vilenkin, M. A. Shleinikova, “Integral relations for the Whittaker functions and the representations of the three-dimensional Lorentz group”, Mat. Sb. (N.S.), 81(123):2 (1970), 185–191; Math. USSR-Sb., 10:2 (1970), 173–179
Citation in format AMSBIB
\Bibitem{VilShl70}
\by N.~Ya.~Vilenkin, M.~A.~Shleinikova
\paper Integral relations for the Whittaker functions and the representations of the three-dimensional Lorentz group
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 81(123)
\issue 2
\pages 185--191
\mathnet{http://mi.mathnet.ru/sm3369}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=274655}
\zmath{https://zbmath.org/?q=an:0193.36002|0215.43302}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 10
\issue 2
\pages 173--179
\crossref{https://doi.org/10.1070/SM1970v010n02ABEH001593}
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    • 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
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:340
    Russian version PDF:135
    English version PDF:14
    References:43
     
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