EULER SUMS OF GENERALIZED HYPERHARMONIC NUMBERS

被引:4
|
作者
Li, Rusen [1 ]
机构
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
关键词
generalized hyperharmonic numbers; Euler sums; Faulhaber's formula; Bernoulli numbers;
D O I
10.7169/facm/1953
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we mainly show that Euler sums of generalized hyperharmonic numbers can be expressed in terms of linear combinations of the classical Euler sums.
引用
收藏
页码:179 / 189
页数:11
相关论文
共 50 条
  • [1] EULER SUMS OF GENERALIZED HYPERHARMONIC NUMBERS
    Xu, Ce
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (05) : 1207 - 1220
  • [2] EULER SUMS OF GENERALIZED ALTERNATING HYPERHARMONIC NUMBERS
    Li, Rusen
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2021, 51 (04) : 1299 - 1313
  • [3] Euler sums of generalized alternating hyperharmonic numbers II
    Li, Rusen
    RAMANUJAN JOURNAL, 2023, 62 (02): : 383 - 411
  • [4] Euler sums of generalized alternating hyperharmonic numbers II
    Rusen Li
    The Ramanujan Journal, 2023, 62 : 383 - 411
  • [5] Computation and theory of Euler sums of generalized hyperharmonic numbers
    Xu, Ce
    COMPTES RENDUS MATHEMATIQUE, 2018, 356 (03) : 243 - 252
  • [6] Euler sums of hyperharmonic numbers
    Dil, Ayhan
    Boyadzhiev, Khristo N.
    JOURNAL OF NUMBER THEORY, 2015, 147 : 490 - 498
  • [7] Euler sums of multiple hyperharmonic numbers
    Ce Xu
    Xixi Zhang
    Ying Li
    Lithuanian Mathematical Journal, 2022, 62 : 412 - 419
  • [8] Euler sums of multiple hyperharmonic numbers
    Xu, Ce
    Zhang, Xixi
    Li, Ying
    LITHUANIAN MATHEMATICAL JOURNAL, 2022, 62 (03) : 412 - 419
  • [9] ON SUMS WITH GENERALIZED HARMONIC, HYPERHARMONIC AND SPECIAL NUMBERS
    Duran, O.
    Omur, N.
    Koparal, S.
    MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) : 791 - 803
  • [10] On Evaluations of Euler-Type Sums of Hyperharmonic Numbers
    Levent Kargın
    Mümün Can
    Ayhan Dil
    Mehmet Cenkci
    Bulletin of the Malaysian Mathematical Sciences Society, 2022, 45 : 113 - 131