Combinatorial proofs of a kind of binomial and q-binomial coefficient identities

被引：0
|
作者：
Guo, Victor J. W. [1 ]
Zhang, Jing [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
来源：
ARS COMBINATORIA | 2014年 / 113卷
基金：
美国国家科学基金会;
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give combinatorial proofs of some binomial and q-binomial identities in the literature, such as (k=-infinity)Sigma(infinity(-1)kq(9k2+3k)/2) [n+3k 2n] = (1 + q(n)) (k=1)Pi(n-1) (1+ q(K) + q(2k)) (n >= 1), k=-infinity and (k=0)Sigma(infinity) ((3n)(2k)) (-3)(k) = (-8)(n). Two related conjectures are proposed at the end of this paper.
引用
收藏
页码：415 / 428
页数：14
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