Euler sums of generalized alternating hyperharmonic numbers II

被引：0
|
作者：
Li, Rusen [1 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
来源：
RAMANUJAN JOURNAL | 2023年 / 62卷 / 02期
关键词：
Generalized alternating hyperharmonic numbers; Alternating Euler sums; Truncated Faulhaber's formula; Combinatorial approach;
D O I：
10.1007/s11139-023-00761-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new type of generalized alternating hyperharmonic number H-n((p,r,s1,s2)), and showthat the Euler sums of the generalized alternating hyperharmonic numbers H-n((p,r,s1,s2)) can be expressed in terms of linear combinations of the classical (alternating) Euler sums.
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页码：383 / 411
页数：29
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