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Matematicheskie Zametki, 1976, Volume 20, Issue 3, Pages 321–330 (Mi mzm7850)  

This article is cited in 1 scientific paper (total in 1 paper)

Addition theorems for Legendre functions as corollaries of an addition theorem for Gegenbauer polynomials

N. N. Beloozerov

All-Union Institute of Scientific and Technological Information
Full-text PDF (692 kB) Citations (1)
Abstract: Proofs are given for addition theorems for Legendre functions with arbitrary upper and lower indices, based solely on an addition theorem for Gegenbauer polynomials. New versions of these and other similar theorems are given, both in the form of sums and of integrals.
Received: 28.07.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 3, Pages 740–745
DOI: https://doi.org/10.1007/BF01097241
Bibliographic databases:
UDC: 517
Language: Russian
Citation: N. N. Beloozerov, “Addition theorems for Legendre functions as corollaries of an addition theorem for Gegenbauer polynomials”, Mat. Zametki, 20:3 (1976), 321–330; Math. Notes, 20:3 (1976), 740–745
Citation in format AMSBIB
\Bibitem{Bel76}
\by N.~N.~Beloozerov
\paper Addition theorems for Legendre functions as corollaries of an addition theorem for Gegenbauer polynomials
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 3
\pages 321--330
\mathnet{http://mi.mathnet.ru/mzm7850}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=432940}
\zmath{https://zbmath.org/?q=an:0342.33023}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 3
\pages 740--745
\crossref{https://doi.org/10.1007/BF01097241}
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  • https://www.mathnet.ru/eng/mzm/v20/i3/p321
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Full-text PDF :372
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