Geodesic
Integral Representations for Linearly Convex Polyhedra and Some Combinatorial Identities
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 176-188.

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An integral representation for functions that are holomorphic in a linearly convex polyhedr was considered in detail in the case of an $n$-circular polyhedron. We obtain some combinatorial identities involving metric parameters of this polyhedron.
Keywords: integral representation, residues, combinatorial identities. 
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Vyacheslav P. Krivokolesko. Integral Representations for Linearly Convex Polyhedra and Some Combinatorial Identities. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 176-188. http://geodesic.mathdoc.fr/item/JSFU_2009_2_2_a5/

[1] L. A .Aizenberg, A. P. Yuzhakov, Integralnye predstavleniya i vychety v mnogomernom kompleksnom analize, Nauka, Novosibirsk, 1979 | MR

[2] G. P. Egorychev, Integralnoe predstavlenie i vychislenie kombinatornykh summ, Nauka, Novosibirsk, 1977 | MR | Zbl

[3] G. P. Egorychev, “Method of coefficients: an algebraic characterization and recept applications”, Labours Waterloo Workshop on Computer Algebra (Waterloo, 5–7 May, 2008), Springer Verlag, 2009, 33

[4] M. Forsberg, M. Passare, A. Tsikh, “Laurent Determinants and Arrangements of Hyperplane Amoebas”, Advances in Mathematics, 151 (2000), 45–70 | DOI | MR | Zbl

[5] V. P. Krivokolesko, A. K. Tsikh, “Integralnye predstavleniya v lineino vypuklykh poliedrakh”, Sib. mat. zhurn., 46:3 (2005), 579–593 | MR

[6] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady, Nauka, M., 1981 | MR | Zbl

[7] R. Stenli, Perechislitelnaya kombinatorika, Mir, M., 1990 | MR

[8] A. K. Tsikh, Mnogomernye vychety i ikh primeneniya, Nauka, Novosibirsk, 1988 | MR | Zbl