This article is cited in 2 papers

On the convergence domains of hypergeometric series in several variables

A. Yu. Semusheva

Krasnoyarsk State University

Abstract: We improve Horn's result on the convergence domains of hypergeometric series in several variables.

Keywords: convergence domain, hypergeometric series, Horn?-Kapranov parametrization, support of a series, ameba.

UDC: 517.55

Received: 28.01.2005

 English version: Siberian Mathematical Journal, 2006, 47:4, 732–739

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