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Chebyshevskii Sbornik, 2021, Volume 22, Issue 1, Pages 225–233
DOI: https://doi.org/10.22405/2226-8383-2018-22-1-225-233 (Mi cheb999) 		 
On two formulas for Macdonald functions and their group-theoretical sense

A. I. Nizhnikova, I. A. Shilinab

a Moscow State Pedagogical University (Moscow)
b National Research University MPEI (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2018-22-1-225-233
Abstract: Two formulas for Macdonald functions (which are a widely known in mathematics and applications particular case of cylinder functions) are obtained by using some integral bilinear functionals defined on a pair of representation spaces or a square of these spaces.
Keywords: Macdonald functions, three-dimensional Lorentz group.
Received: 04.11.2020
Accepted: 21.02.2021
Document Type: Article
UDC: 517.444, 517.588
Language: Russian
Citation: A. I. Nizhnikov, I. A. Shilin, “On two formulas for Macdonald functions and their group-theoretical sense”, Chebyshevskii Sb., 22:1 (2021), 225–233
Citation in format AMSBIB
\Bibitem{NizShi21}
\by A.~I.~Nizhnikov, I.~A.~Shilin
\paper On two formulas for Macdonald functions and their group-theoretical sense
\jour Chebyshevskii Sb.
\yr 2021
\vol 22
\issue 1
\pages 225--233
\mathnet{http://mi.mathnet.ru/cheb999}
\crossref{https://doi.org/10.22405/2226-8383-2018-22-1-225-233}
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