英文论文

文献类型: Journal article (JA)
题名: Evaluations of nonlinear Euler sums of weight ten
作者: Xu, Ce (1)
作者单位: (1) School of Mathematical Sciences, Xiamen University, Xiamen; 361005, China
通讯作者地址: Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China.
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期刊名称: Applied Mathematics and Computation
出版社: Elsevier Inc.
ISSN: 0096-3003
出版信息: 2019-04-01, 346:594-611.
JCR: 1
影响因子: 3.472
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关键词: Stars
摘要: In this paper we present a new family of identities for Euler sums and integrals of polylogarithms by using the methods of generating function and integral representations of series. Then we apply it to obtain the closed forms of all quadratic Euler sums of weight ten. Furthermore, we also establish some relations between multiple zeta (star) values and nonlinear Euler sums. As applications of these relations, we give new closed form representations of several cubic Euler sums through single zeta values and linear sums. Finally, with the help of numerical computations of Mathematica or Maple, we evaluate several other Euler sums of weight ten. ? 2018 Elsevier Inc.
一级学科: Mathematics, Applied
WOS入藏号: WOS:000453704700044
EI收录号: 20184506050948
DOI: 10.1016/j.amc.2018.10.042
ESI: MATHEMATICS
收录于: SCIE, EI