A NEW q-ANALOGUE OF THE BINOMIAL IDENTITY Σk(-1)k( n+3k2n ) = 2 <middle dot> 3n-1

被引：0
|
作者：
Li, Yan-ni [1 ]
Zhao, Yuan-yuan [1 ]
机构：
[1] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
来源：
TRANSACTIONS ON COMBINATORICS | 2024年 / 13卷 / 02期
关键词：
q-binomial coefficient; q-binomial theorem; involution;
D O I：
10.22108/toc.2023.135277.2017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish a new q-analogue of the binomial identity: Sigma(k)(-1)(k) ( 2n n+ 3k) ={ 1,ifn= 0, 2<middle dot>3(n-1),if n >= 1.. Our proof relies on a weight-preserving and sign-reversing involution due to Guo and Zhang.
引用
收藏
页码：137 / 142
页数：6
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