SOME SERIES INVOLVING PRODUCTS BETWEEN THE HARMONIC NUMBERS AND THE FIBONACCI NUMBERS

被引：0
|
作者：
Stewart, Sean M. [1 ]
机构：
[1] 9 Tanang St, Bomaderry, NSW 2541, Australia
来源：
FIBONACCI QUARTERLY | 2021年 / 59卷 / 03期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find various ordinary generating functions for sequences involving products between the harmonic numbers and the Fibonacci numbers. These are then used to establish some classes of series associated with these products. Our approach is based on applying well-known ordinary generating functions for the harmonic numbers.
引用
收藏
页码：214 / 224
页数：11
相关论文
共 50 条
  • [41] Coincidence Between k-Fibonacci Numbers and Products of Two Fermat Numbers
    Alioune Gueye
    Salah Eddine Rihane
    Alain Togbé
    Bulletin of the Brazilian Mathematical Society, New Series, 2022, 53 : 541 - 552
  • [42] Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers
    Kilic, E.
    Omur, N.
    Ulutas, T.
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
  • [43] ON SOME DIOPHANTINE EQUATIONS INVOLVING GENERALIZED FIBONACCI AND LUCAS NUMBERS
    Ait-Amrane, Lyes
    Behloul, Djilali
    COLLOQUIUM MATHEMATICUM, 2017, 150 (02) : 257 - 268
  • [44] Evaluating Infinite Series Involving Harmonic Numbers by Integration
    Li, Chunli
    Chu, Wenchang
    MATHEMATICS, 2024, 12 (04)
  • [45] Binomial Series Involving Harmonic-like Numbers
    Li, Chunli
    Chu, Wenchang
    AXIOMS, 2024, 13 (03)
  • [46] INFINITE PRODUCTS AND FIBONACCI NUMBERS
    REDMOND, D
    FIBONACCI QUARTERLY, 1994, 32 (03): : 234 - 239
  • [47] An Inequality with Products of Fibonacci Numbers
    Ohtsuka, Hideyuki
    FIBONACCI QUARTERLY, 2012, 50 (02): : 189 - 189
  • [48] Orderings of products of Fibonacci numbers
    Kimberling, C
    FIBONACCI QUARTERLY, 2004, 42 (01): : 28 - 35
  • [49] Three Infinite Series of Reciprocals of Products of Fibonacci Numbers Solution
    Plaza, Angel
    FIBONACCI QUARTERLY, 2023, 61 (01): : 86 - 87
  • [50] Fibonacci numbers which are products of two Jacobsthal numbers
    Erduvan, Fatih
    Keskin, Refik
    TBILISI MATHEMATICAL JOURNAL, 2021, 14 (02) : 105 - 116
12345