Some Identities Involving Square of Fibonacci Numbers and Lucas Numbers

被引:8
作者
LIU Duan-sen
机构
关键词
Chebyshev polynomials; Fibonacci numbers; Lucas numbers; identity;
D O I
暂无
中图分类号
O156.4 [解析数论];
学科分类号
070104 ;
摘要
By studying the properties of Chebyshev polynomials, some specific and meaningful identities for the calculation of square of Chebyshev polynomials, Fibonacci numbers and Lucas numbers are obtained.
引用
收藏
页码:67 / 68
页数:2
相关论文
共 50 条
  • [31] On Fibonacci and Lucas Numbers of the Form cx(2)
    Keskin, Refik
    Yosma, Zafer
    JOURNAL OF INTEGER SEQUENCES, 2011, 14 (09)
  • [32] An Alternating Sum of Fibonacci and Lucas Numbers of Orderk
    Dafnis, Spiros D.
    Philippou, Andreas N.
    Livieris, Ioannis E.
    MATHEMATICS, 2020, 8 (09)
  • [33] On the representation of Fibonacci and Lucas numbers in an integer base
    Bugeaud Y.
    Cipu M.
    Mignotte M.
    Annales mathématiques du Québec, 2013, 37 (1) : 31 - 43
  • [34] Representation of Integers as Sums of Fibonacci and Lucas Numbers
    Park, Ho
    Cho, Bumkyu
    Cho, Durkbin
    Cho, Yung Duk
    Park, Joonsang
    SYMMETRY-BASEL, 2020, 12 (10): : 1 - 8
  • [35] Sums of products of generalized Fibonacci and Lucas numbers
    Belbachir, Hacene
    Bencherif, Farid
    ARS COMBINATORIA, 2013, 110 : 33 - 43
  • [36] Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers
    Guo, Dongwei
    Chu, Wenchang
    MATHEMATICS, 2022, 10 (15)
  • [37] Some identities involving the bi-periodic Fibonacci and Lucas polynomials
    Du, Tingting
    Wu, Zhengang
    AIMS MATHEMATICS, 2023, 8 (03): : 5838 - 5846
  • [38] SOME CONGRUENCES INVOLVING CATALAN, PELL AND FIBONACCI NUMBERS
    Koparal, S.
    Omur, N.
    MATHEMATICA MONTISNIGRI, 2020, 48 : 10 - 18
  • [39] DIOPHANTINE TRIPLES WITH VALUES IN THE SEQUENCES OF FIBONACCI AND LUCAS NUMBERS
    Luca, Florian
    Munagi, Augustine O.
    GLASNIK MATEMATICKI, 2017, 52 (01) : 23 - 43
  • [40] On the representation of Fibonacci and Lucas numbers as the sum of three squares
    Ya. A. Latushkin
    V. N. Ushakov
    Mathematical Notes, 2012, 91 : 663 - 670