A generalized hypergeometric system

Hiroyuki Ochiai; Uuganbayar Zunderiya

A generalized hypergeometric system

基礎理論研究部門

研究成果: Contribution to journal › Review article › 査読

抄録

We give a combinatorial formula of the dimension of global solutions to a generalization of Gauss-Aomoto-Gelfand hypergeometric system, where the quadratic differential operators are replaced by higher order operators. We also derive a polynomial estimate of the dimension of global solutions for the case in 3 × 3 variables.

本文言語	英語
ページ（範囲）	285-315
ページ数	31
ジャーナル	Journal of Mathematical Sciences (Japan)
巻	20
号	2
出版ステータス	出版済み - 12 1 2013

All Science Journal Classification (ASJC) codes

数学 (全般)

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引用スタイル

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title = "A generalized hypergeometric system",

abstract = "We give a combinatorial formula of the dimension of global solutions to a generalization of Gauss-Aomoto-Gelfand hypergeometric system, where the quadratic differential operators are replaced by higher order operators. We also derive a polynomial estimate of the dimension of global solutions for the case in 3 × 3 variables.",

author = "Hiroyuki Ochiai and Uuganbayar Zunderiya",

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AU - Zunderiya, Uuganbayar

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N2 - We give a combinatorial formula of the dimension of global solutions to a generalization of Gauss-Aomoto-Gelfand hypergeometric system, where the quadratic differential operators are replaced by higher order operators. We also derive a polynomial estimate of the dimension of global solutions for the case in 3 × 3 variables.

AB - We give a combinatorial formula of the dimension of global solutions to a generalization of Gauss-Aomoto-Gelfand hypergeometric system, where the quadratic differential operators are replaced by higher order operators. We also derive a polynomial estimate of the dimension of global solutions for the case in 3 × 3 variables.

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JO - Journal of Mathematical Sciences (Japan)

JF - Journal of Mathematical Sciences (Japan)

SN - 1340-5705

IS - 2

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A generalized hypergeometric system

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All Science Journal Classification (ASJC) codes

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