Anastasiya Yu. Semusheva, August K. Tsikh, “Domains of Convergence of Hypergeometric Series of Several Complex Variables”, J. Sib. Fed. Univ. Math. Phys., 2009, Volume 2, Issue 2,Pages <nobr>221

This article is cited in 2 papers

Domains of Convergence of Hypergeometric Series of Several Complex Variables

Anastasiya Yu. Semusheva^a, August K. Tsikh^b

^a Institute of Basic Training, Siberian Federal University, Krasnoyarsk, Russia
^b Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: We generalize the well-known result of Ja. Horn on the domain of convergence for hypergeometric series of several complex variables.

Keywords: domain of convergence, hypergeometric series, parametrization of Horn–Kapranov, the support of a series, amoeba.

UDC: 517.55

Received: 18.03.2009
Received in revised form: 21.04.2009
Accepted: 30.04.2009