FIBONACCI NUMBERS AND TRIGONOMETRIC IDENTITIES

被引：0
|
作者：
Garnier, N. [1 ]
Ramare, O. [1 ]
机构：
[1] Univ Lille 1, Lab Paul Painleve, F-59655 Villeneuve Dascq, France
来源：
FIBONACCI QUARTERLY | 2008年 / 46-47卷 / 01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：
In 1969 Webb and Parberry proved a startling trigonometric identity involving Fibonacci numbers. This identity has remained isolated up to now, despite the amount of work on related polynomials. We provide a wide generalization of this identity together with what we believe (and hope!) to be its proper understanding.
引用
收藏
页码：56 / 61
页数：6
相关论文
共 50 条
  • [1] Some Trigonometric Identities Involving Fibonacci and Lucas Numbers
    Bibak, Kh.
    Haghighi, M. H. Shirdareh
    [J]. JOURNAL OF INTEGER SEQUENCES, 2009, 12 (08)
  • [2] Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers
    Chen, Yulei
    Zhu, Yingming
    Guo, Dongwei
    [J]. AIMS MATHEMATICS, 2024, 9 (04): : 9348 - 9363
  • [3] Fibonacci Numbers and Trigonometric Functions
    Cook, Charles K.
    [J]. FIBONACCI QUARTERLY, 2008, 46-47 (04): : 379 - 380
  • [4] FIBONACCI NUMBERS AND IDENTITIES
    Lang, Cheng Lien
    Lang, Mong Lung
    [J]. FIBONACCI QUARTERLY, 2013, 51 (04): : 330 - 338
  • [5] ON IDENTITIES FOR FIBONACCI NUMBERS
    ZEITLIN, D
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1963, 70 (09): : 987 - &
  • [6] FIBONACCI NUMBERS VIA TRIGONOMETRIC EXPRESSIONS
    BEDROSIAN, SD
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1973, 295 (02): : 175 - 177
  • [7] TRIGONOMETRIC EXPRESSIONS FOR FIBONACCI AND LUCAS NUMBERS
    Sury, B.
    [J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2010, 79 (02): : 199 - 208
  • [8] Identities for Fibonacci and Lucas numbers
    Grossman, George
    Zeleke, Aklilu
    Zhu, Xinyun
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2023, 29 (03) : 670 - 681
  • [9] Identities with Fibonacci and Tribonacci numbers
    Frontczak, Robert
    Ventas, Andres
    [J]. FIBONACCI QUARTERLY, 2022, 60 (04): : 375 - 377
  • [10] Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers
    Ma, Yuankui
    Zhang, Wenpeng
    [J]. MATHEMATICS, 2018, 6 (12):
12345