q-Analogs of Identities Involving Harmonic Numbers and Binomial Coefficients

被引：0

作者：

Mansour, Toufik ^{[1
]}

Shattuck, Mark ^{[2
]}

Song, Chunwei ^{[3
,4
]}

机构：

[1] Univ Haifa, Dept Math, IL-31905 Haifa, Israel

[2] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

[3] LMAM, Sch Math Sci, Beijing 100871, Peoples R China

[4] Peking Univ, Beijing 100871, Peoples R China

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2012年 / 7卷 / 01期

关键词：

partial fraction decomposition; q-identities; harmonic numbers; q-binomial coefficients;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, McCarthy presented two algebraic identities involving binomial coefficients and harmonic numbers, one of which generalizes an identity used to prove the Apery number supercongruence. In 2008, Prodinger provided human proofs of identities initially obtained by Osburn and Schneider using the computer program Sigma. In this paper, we establish q-analogs of a fair number of the identities appearing in McCarthy (Integers 11 (2011): A37) and Prodinger (Integers 8 (2008): A10) by making use of q-partial fractions.

引用

页码：22 / 36

页数：15