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

页码：137 / 142

页数：6

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