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Alternate abstract:
Доκазываются две теоремы об областях сходимости для A-гипергеометричесκих рядов и ассоциированных с ними интегралов типа Меллина-Барнса. Точные области сходимости описаны в терминах амеб и κоамеб соответствующих главных A-детерминантов.
