Zobrazeno 1 - 10
of 354
pro vyhledávání: '"Du, Lixin"'
Autor:
Du, Lixin, Wei, Yarong
The bivariate difference field provides an algebraic framework for a sequence satisfying a recurrence of order two. Based on this, we focus on sequences satisfying a recurrence of higher order, and consider the multivariate difference field, in which
Externí odkaz:
http://arxiv.org/abs/2401.13933
Autor:
Du, Lixin
We extend the criterion on the existence of telescopers for hypergeometric terms to the case of P-recursive sequences. This criterion is based on the concept of integral bases and the generalized Abramov-Petkovsek reduction for P-recursive sequences.
Externí odkaz:
http://arxiv.org/abs/2311.06065
We propose a way to split a given bivariate P-recursive sequence into a summable part and a non-summable part in such a way that the non-summable part is minimal in some sense. This decomposition gives rise to a new reduction-based creative telescopi
Externí odkaz:
http://arxiv.org/abs/2311.05246
Trager's Hermite reduction solves the integration problem for algebraic functions via integral bases. A generalization of this algorithm to D-finite functions has so far been limited to the Fuchsian case. In the present paper, we remove this restrict
Externí odkaz:
http://arxiv.org/abs/2302.04652
Autor:
Du, Lixin1 (AUTHOR) 20223723@stu.hnucm.edu.cn, Xiao, Yifei1 (AUTHOR) 20213659@stu.hnucm.edu.cn, Wei, Qidong1 (AUTHOR) 20233763@stu.hnucm.edu.cn, Guo, Zhihua2 (AUTHOR) 004294@hnucm.edu.cn, Li, Ya1 (AUTHOR) 003872@hnucm.edu.cn
Publikováno v:
Molecules. Sep2024, Vol. 29 Issue 18, p4425. 22p.
The Shift Equivalence Testing (SET) of polynomials is deciding whether two polynomials $p(x_1, \ldots, x_m)$ and $q(x_1, \ldots, x_m)$ satisfy the relation $p(x_1 + a_1, \ldots, x_m + a_m) = q(x_1, \ldots, x_m)$ for some $a_1, \ldots, a_m$ in the coe
Externí odkaz:
http://arxiv.org/abs/2204.06968
Autor:
Zheng, Qiumeng, Wang, Lei, Hao, Longyun, Wu, Jing, Fu, Ranran, Du, Lixin, Ren, Yanfei, Fang, Kuanjun
Publikováno v:
In International Journal of Biological Macromolecules November 2024 281 Part 4
Autor:
Guo, Jianhong, Zhang, Leyan, Zhang, Chunhua, Zhong, Dandan, Long, Weihao, Qin, Jieyao, Fu, Zhuan, Zhou, Sijie, Gong, Junyao, Pan, Heng, Ji, Hua, Du, Lixin, Xia, Liangjun
Publikováno v:
In Chemical Engineering Journal 15 September 2024 496
Autor:
Wang, Xiaofeng, Fu, Zhuan, Hu, Wanjin, Cai, Mengyao, Zhong, Dandan, Zhang, Chunhua, Tan, Shuishi, Zhang, Shuxiao, Zhou, Sijie, Du, Lixin, Xia, Liangjun
Publikováno v:
In Industrial Crops & Products 15 September 2024 216
Publikováno v:
In Journal of Symbolic Computation January-February 2025 126