determiningwhetheramultivariatehyperexponentialfunctionisalgebraic | |
Ziming Li; Dabin Zheng | |
刊名 | journalofsystemsscienceandcomplexity |
2006 | |
卷号 | 19期号:3页码:352 |
ISSN号 | 1009-6124 |
英文摘要 | Let F=C(x_1,x_2, x_, x_l+1……x_m), where x_1,x_2,x_ell are differential variables, and x_l+1, x_m are shift variables. We show that a hyperexponential function, which is algebraic over F, is of form g(x_1,x_2, x_m) q(x_1,x_2, x_\ell)^{1}{t} \om_{+1}^{x_{+1}} om_m^{x_m}, \ where g \in F, q \in \bC(x_1,x_2, x_\ell), t \in \bZ^+ and \om_{\ell+1}, \cdots, \om_m are roots of unity. Furthermore, we present an algorithm for determining whether a hyperexponential function is algebraic over F. |
语种 | 英语 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/45355] |
专题 | 系统科学研究所 |
作者单位 | 中国科学院数学与系统科学研究院 |
推荐引用方式 GB/T 7714 | Ziming Li,Dabin Zheng. determiningwhetheramultivariatehyperexponentialfunctionisalgebraic[J]. journalofsystemsscienceandcomplexity,2006,19(3):352. |
APA | Ziming Li,&Dabin Zheng.(2006).determiningwhetheramultivariatehyperexponentialfunctionisalgebraic.journalofsystemsscienceandcomplexity,19(3),352. |
MLA | Ziming Li,et al."determiningwhetheramultivariatehyperexponentialfunctionisalgebraic".journalofsystemsscienceandcomplexity 19.3(2006):352. |
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