Gaussian binomial coefficients

被引：2
|
作者：
Shannon, A. G. [1 ]
机构：
[1] Univ New South Wales, Warrane Coll, Kensington, NSW 2033, Australia
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2020年 / 26卷 / 01期
关键词：
Gaussian binomial coefficients; Generalized Fibonacci numbers; Fibonomial coefficients; GENERATING-FUNCTIONS; POWERS;
D O I：
10.7546/nntdm.2020.26.1.225-229
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper extends Gaussian binomial coefficients (and so-called) Fibonomial coefficients) with identities related to Horadam's generalized binomial coefficients.
引用
收藏
页码：225 / 229
页数：5
相关论文
共 50 条
  • [1] A NOTE ON BINOMIAL GAUSSIAN COEFFICIENTS
    MERCIER, A
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1989, 32 (03): : 340 - 343
  • [2] Gaussian Binomial Coefficients with Negative Arguments
    Formichella, Sam
    Straub, Armin
    ANNALS OF COMBINATORICS, 2019, 23 (3-4) : 725 - 748
  • [3] IDENTITIES CONTAINING GAUSSIAN BINOMIAL COEFFICIENTS
    MERCIER, A
    DISCRETE MATHEMATICS, 1989, 76 (01) : 67 - 73
  • [4] A PROBABILISTIC INTERPRETATION OF THE GAUSSIAN BINOMIAL COEFFICIENTS
    Konstantopoulos, Takis
    Yuan, Linglong
    JOURNAL OF APPLIED PROBABILITY, 2017, 54 (04) : 1295 - 1298
  • [5] Gaussian Binomial Coefficients with Negative Arguments
    Sam Formichella
    Armin Straub
    Annals of Combinatorics, 2019, 23 : 725 - 748
  • [6] Some identities of Gaussian binomial coefficients
    He, Tian-Xiao
    Shannon, Anthony G.
    Shiue, Peter J-S
    ANNALES MATHEMATICAE ET INFORMATICAE, 2022, 55 : 76 - 87
  • [7] A unified interpretation of the binomial coefficients, the stirling numbers, and the Gaussian coefficients
    Konvalina, J
    AMERICAN MATHEMATICAL MONTHLY, 2000, 107 (10): : 901 - 910
  • [8] Gaussian binomial coefficients modulo cyclotomic polynomials
    Li, Yan
    Kim, Daeyeoul
    Ma, Lianrong
    JOURNAL OF NUMBER THEORY, 2016, 168 : 154 - 166
  • [9] Quadratic sums of Gaussian q-binomial coefficients and Fibonomial coefficients
    Chu, Wenchang
    Kilic, Emrah
    RAMANUJAN JOURNAL, 2020, 51 (02): : 229 - 243
  • [10] Quadratic sums of Gaussian q-binomial coefficients and Fibonomial coefficients
    Wenchang Chu
    Emrah Kılıç
    The Ramanujan Journal, 2020, 51 : 229 - 243
12345