Sums of Products of Binomial Coefficients

被引：0
|
作者：
Ismail, Mourad E. H. [1 ]
机构：
[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
来源：
ARS COMBINATORIA | 2011年 / 101卷
关键词：
Binomial coefficients; Jacobi polynomials; Legendre polynomials; Dixon's theorem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We given a two parameter generalization of identities of Carlitz and Gould involving products of binomial coefficients. The generalization involves Jacobi polynomials.
引用
收藏
页码：187 / 192
页数：6
相关论文
共 50 条
  • [31] Digit Sums Generalizing Binomial Coefficients
    Choi, Ji Young
    [J]. JOURNAL OF INTEGER SEQUENCES, 2019, 22 (08)
  • [32] Alternating Sums of the Reciprocals of Binomial Coefficients
    Belbachir, Hacene
    Rahmani, Mourad
    Sury, B.
    [J]. JOURNAL OF INTEGER SEQUENCES, 2012, 15 (02)
  • [33] Periodic Weighted Sums of Binomial Coefficients
    Dresden, Greg
    Li, Yike
    [J]. JOURNAL OF INTEGER SEQUENCES, 2023, 26 (08)
  • [34] Arithmetic progression sums of binomial coefficients
    Konvalina, J
    Liu, YH
    [J]. APPLIED MATHEMATICS LETTERS, 1997, 10 (04) : 11 - 13
  • [35] Factors of sums of powers of binomial coefficients
    Calkin, NJ
    [J]. ACTA ARITHMETICA, 1998, 86 (01) : 17 - 26
  • [36] On recurrences for sums of powers of binomial coefficients
    Yuan, Jin
    Lu, Zhi-Juan
    Schmidt, Asmus L.
    [J]. JOURNAL OF NUMBER THEORY, 2008, 128 (10) : 2784 - 2794
  • [37] Factors of Sums and Alternating Sums of Products of q-binomial Coefficients and Powers of q-integers
    Guo, Victor J. W.
    Wang, Su-Dan
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2019, 23 (01): : 11 - 27
  • [38] Evaluation of sums of products of Gaussian q-binomial coefficients with rational weight functions
    Arikan, Talha
    Kilic, Emrah
    Prodinger, Helmut
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (01) : 307 - 318
  • [39] Multiple Sums of Circular Binomial Products
    Chen, Marta Na
    Chu, Wenchang
    [J]. MATHEMATICS, 2024, 12 (12)
  • [40] CUBIC SUMS OF q-BINOMIAL COEFFICIENTS AND THE FIBONOMIAL COEFFICIENTS
    Chu, Wenchang
    Kilic, Emrah
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2019, 49 (08) : 2557 - 2569
12345