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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)
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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
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\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}
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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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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