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On the convergence domains of hypergeometric series in several variables

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Abstract

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

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Authors and Affiliations

  1. Krasnoyarsk State University, Krasnoyarsk, Russia

    A. Yu. Semusheva

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  1. A. Yu. Semusheva
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Original Russian Text Copyright © 2006 Semusheva A. Yu.

The author was supported by the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-1212.2003.1).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 4, pp. 888–897, July–August, 2006.

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Semusheva, A.Y. On the convergence domains of hypergeometric series in several variables. Sib Math J 47, 732–739 (2006). https://doi.org/10.1007/s11202-006-0084-8

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  • DOI: https://doi.org/10.1007/s11202-006-0084-8

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