Volume of a doubly truncated hyperbolic tetrahedron
- Kolpakov, Alexander Department of Mathematics, University of Fribourg, Switzerland
- Murakami, Jun Department of Mathematics, Faculty of Science and Engineering, Waseda University, Tokyo, Japan
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01.06.2013
Published in:
- Aequationes mathematicae. - 2013, vol. 85, no. 3, p. 449–463
English
he 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.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 118036
- DOI 10.1007/s00010-012-0153-y
- Persistent URL
- https://folia.unifr.ch/unifr/documents/302985
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