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Note on the addition theorem for Legendre functions

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Abstract

The addition theorem for Legendre functions of the first and second kinds is generalized to the case of arbitrary superscripts.

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Literature cited

  1. N. Ya. Vilenkin, “The matrix elements of irreducible unitary representations of groups of motion in a Lobachevskii space and the generalization of the Fok-Meller transformation,” Dokl. Akad. Nauk SSSR,118, No. 2, 219–222 (1958).

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Authors and Affiliations

  1. All-Union Institute of Scientific and Technical Information, USSR

    N. N. Beloozerov

Authors
  1. N. N. Beloozerov
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Translated from Matematicheskie Zametki, Vol. 7, No. 2, pp. 137–145, February, 1970.

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Beloozerov, N.N. Note on the addition theorem for Legendre functions. Mathematical Notes of the Academy of Sciences of the USSR 7, 83–88 (1970). https://doi.org/10.1007/BF01093487

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  • DOI: https://doi.org/10.1007/BF01093487

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