Generating Functions Related to Partition Formul ae for Fibonacci Numbers

被引:0
|
作者
Prodinger, Helmut [1 ]
机构
[1] Univ Stellenbosch, Dept Math, ZA-7602 Stellenbosch, South Africa
关键词
Fibonacci numbers; generating function; kernel method;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The generating functions of 2 double schemes of numbers are explicitly computed using the kernel method, which leads to easy verification proofs of partition formul ae for Fibonacci numbers.
引用
收藏
页数:3
相关论文
共 50 条
  • [31] Formul ae relating to Bessel functions of moderate or large argument and order.
    Bickley, WG
    PHILOSOPHICAL MAGAZINE, 1943, 34 (228): : 37 - 49
  • [32] ARITHMETIC FUNCTIONS OF FIBONACCI AND LUCAS NUMBERS
    Jaidee, Montree
    Pongsriiam, Prapanpong
    FIBONACCI QUARTERLY, 2019, 57 (03): : 246 - 254
  • [33] A new family of generating functions of binary products of bivariate complex Fibonacci polynomials and Gaussian numbers
    Boughaba, Souhila
    Boussayoud, Ali
    Saba, Nabiha
    Kanuri, Kasi Viswanadh V.
    TBILISI MATHEMATICAL JOURNAL, 2021, 14 (02) : 221 - 237
  • [34] Generating Functions of Binary Products of (p, q)-Fibonacci-Like Numbers with Odd and Even Certain Numbers and Polynomials
    Saba, Nabiha
    Boussayoud, Ali
    FILOMAT, 2022, 36 (14) : 4877 - 4892
  • [35] Continued fraction expansions of the generating functions of Bernoulli and related numbers
    Komatsu, Takao
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2020, 31 (04): : 695 - 713
  • [36] Divisibility properties for Fibonacci and related numbers
    Sadek, Jawad
    Euler, Russell
    MATHEMATICAL GAZETTE, 2013, 97 (540): : 461 - 464
  • [37] An interesting table related to Fibonacci numbers
    Omur, Nese
    Ulutas, Yucel Turker
    NOTE DI MATEMATICA, 2007, 27 (01): : 1 - 4
  • [38] On the sequences related to Fibonacci and Lucas numbers
    Özgür, NY
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 42 (01) : 135 - 151
  • [39] Card sorting related to fibonacci numbers
    Kimberling, C
    APPLICATIONS OF FIBONACCI NUMBERS, VOL 8, 1999, : 219 - 231
  • [40] On matrices related with Fibonacci and Lucas numbers
    Fu, Xudan
    Zhou, Xia
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) : 96 - 100