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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 2, Pages 227–229
DOI: https://doi.org/10.4213/tmf532 (Mi tmf532) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Graf's Addition Theorem Obtained from $SO(3)$ Contraction

P. Winternitza, K. B. Wolfb, G. S. Pogosyanbc, A. N. Sisakyanc

a Université de Montréal
b National Autonomous University of Mexico, Center of Physical Sciences
c Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
Full-text PDF (161 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf532
Abstract: We show that Graf's addition theorem for Bessel functions is obtained by contraction of the composition formula for $SO(3)$ rotations.
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 2, Pages 1501–1503
DOI: https://doi.org/10.1023/A:1012879022505
Bibliographic databases:
Language: Russian
Citation: P. Winternitz, K. B. Wolf, G. S. Pogosyan, G. S. Pogosyan, A. N. Sisakyan, “Graf's Addition Theorem Obtained from $SO(3)$ Contraction”, TMF, 129:2 (2001), 227–229; Theoret. and Math. Phys., 129:2 (2001), 1501–1503
Citation in format AMSBIB
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\transl
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\vol 129
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\crossref{https://doi.org/10.1023/A:1012879022505}
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Linking options:
  • https://www.mathnet.ru/eng/tmf532
  • https://doi.org/10.4213/tmf532
  • https://www.mathnet.ru/eng/tmf/v129/i2/p227
    • This publication is cited in the following 3 articles:
    1. Pogosyan G.S. Yakhno A., “Separations of Variables and Analytic Contractions on Two-Dimensional Hyperboloids”, Phys. Part. Nuclei, 50:2 (2019), 87–140  crossref  isi  scopus
    2. Pogosyan, GS, “Lie-algebra contractions and separation of variables. Three-dimensional sphere”, Physics of Atomic Nuclei, 72:5 (2009), 836  crossref  adsnasa  isi  scopus  scopus
    3. Pogosyan, G, “Separation of variables and Lie algebra contractions. Applications to special functions”, Physics of Particles and Nuclei, 33 (2002), S123  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :273
    References:75
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