Volume of a doubly truncated hyperbolic tetrahedron

Alexander Kolpakov, Jun Murakami

    研究成果: Article

    4 引用 (Scopus)

    抄録

    The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the earlier results of J. Murakami, U. Yano and A. Ushijima, we have developed a unified approach to express the volume in different geometric cases by dilogarithm functions and to treat properly the many analytic strata of the latter. Finally, several numeric examples are given.

    元の言語English
    ページ（範囲）449-463
    ページ数15
    ジャーナルAequationes Mathematicae
    巻85
    発行部数3
    DOI
    出版物ステータスPublished - 2013 6

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    Triangular pyramid
    Dilogarithm
    Numerics
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    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics
    • Discrete Mathematics and Combinatorics

    これを引用

    Volume of a doubly truncated hyperbolic tetrahedron. / Kolpakov, Alexander; Murakami, Jun.

    ：: Aequationes Mathematicae, 巻 85, 番号 3, 06.2013, p. 449-463.

    研究成果: Article

    Kolpakov, A & Murakami, J 2013, 'Volume of a doubly truncated hyperbolic tetrahedron', Aequationes Mathematicae, 巻. 85, 番号 3, pp. 449-463. https://doi.org/10.1007/s00010-012-0153-y
    Kolpakov A, Murakami J. Volume of a doubly truncated hyperbolic tetrahedron. Aequationes Mathematicae. 2013 6;85(3):449-463. https://doi.org/10.1007/s00010-012-0153-y
    Kolpakov, Alexander ; Murakami, Jun. / Volume of a doubly truncated hyperbolic tetrahedron. ：: Aequationes Mathematicae. 2013 ; 巻 85, 番号 3. pp. 449-463.
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