Geodesic
Domains of Convergence of Hypergeometric Series of Several Complex Variables
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 221-229.

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We generalize the well-known result of Ja. Horn on the domain of convergence for hypergeometric series of several complex variables.
Mots-clés : domain of convergence
Keywords: hypergeometric series, parametrization of Horn–Kapranov, the support of a series, amoeba. 
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Anastasiya Yu. Semusheva; August K. Tsikh. Domains of Convergence of Hypergeometric Series of Several Complex Variables. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 221-229. http://geodesic.mathdoc.fr/item/JSFU_2009_2_2_a9/

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