Sums of Products of s-Fibonacci Polynomial Sequences

被引：0
|
作者：
Ruiz Velasco, Claudio de Jesus Pita [1 ]
机构：
[1] Univ Panamer, Mexico City, DF, Mexico
来源：
JOURNAL OF INTEGER SEQUENCES | 2011年 / 14卷 / 07期
关键词：
Fibonacci polynomials; s-polygibonomials; addition formulas;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider $ s$-Fibonacci polynomial sequences (F-0(x), F-s(x), F-2s(x), . . .), where s epsilon N is given. By studying certain z-polynomials involving s-polyfibonomials (n k)F-s (x)= F-sn(x)... Fs(n-k+1)(x) / F-s(x) ...F-ks(x) and s-Gibonacci polynomial sequences (G(0) (x) , G(s) (x) ,G(2s)(x), . . .), we generalize some known results (and obtain some new results) concerning sums of products and addition formulas of Fibonacci numbers.
引用
收藏
页数：25
相关论文
共 50 条
  • [41] On the Binomial Sums of k-Fibonacci and k-Lucas sequences
    Yilmaz, N.
    Taskara, N.
    Uslu, K.
    Yazlik, Y.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [42] Sums or products of double factorials in Lucas sequences
    Zhang, Shaonan
    Yang, Peng
    Cai, Tianxin
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2024, 20 (08) : 1943 - 1965
  • [43] INFINITE SUMS INVOLVING JACOBSTHAL POLYNOMIAL PRODUCTS REVISITED
    Koshy, Thomas
    FIBONACCI QUARTERLY, 2022, 60 (01): : 3 - 14
  • [44] A FAMILY OF SUMS OF GIBONACCI POLYNOMIAL PRODUCTS OF ORDER 4
    Koshy, Thomas
    FIBONACCI QUARTERLY, 2021, 59 (02): : 98 - 107
  • [45] EXTENDED GIBONACCI SUMS OF POLYNOMIAL PRODUCTS OF ORDER 3
    Koshy, Thomas
    FIBONACCI QUARTERLY, 2020, 58 (03): : 241 - 248
  • [46] Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
    Taekyun Kim
    Dae San Kim
    Dmitry V. Dolgy
    Jin-Woo Park
    Journal of Inequalities and Applications, 2018
  • [47] CLOSED FORMULAS FOR FINITE SUMS OF WEIGHTED FRACTIONAL GENERALIZED FIBONACCI PRODUCTS
    Melham, R. S.
    FIBONACCI QUARTERLY, 2018, 56 (02): : 167 - 176
  • [48] Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
    Kim, Taekyun
    Kim, Dae San
    Dolgy, Dmitry V.
    Park, Jin-Woo
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [49] On the Location of Roots of the Characteristic Polynomial of (p, q)-Distance Fibonacci Sequences
    Marques, Diego
    Trojovsky, Pavel
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2022, 53 (04): : 1231 - 1244
  • [50] On the Location of Roots of the Characteristic Polynomial of (p, q)-Distance Fibonacci Sequences
    Diego Marques
    Pavel Trojovský
    Bulletin of the Brazilian Mathematical Society, New Series, 2022, 53 : 1231 - 1244
12345