determiningwhetheramultivariatehyperexponentialfunctionisalgebraic

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	determiningwhetheramultivariatehyperexponentialfunctionisalgebraic
	Ziming Li; Dabin Zheng
	2006
发表期刊	journalofsystemsscienceandcomplexity
ISSN	1009-6124
卷号	19 期号:3 页码:352
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
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/45356
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.