q-Analogs of identities involving harmonic numbers and binomial coefficients

Toufik Mansour, Mark Shattuck, Chunwei Song

Research output: Contribution to journalArticlepeer-review


Recently, McCarthy presented two algebraic identities involving binomial coefficients and harmonic numbers, one of which generalizes an identity used to prove the Apéry 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 [D. McCarthy, Integers 11, No. 6, 801–809 (2011; Zbl 1234.05039)] and [H. Prodinger, Integers 8, No. 1, Article A10, 8 p., electronic only (2008; Zbl 1162.05004)] by making use of q-partial fractions.
Original languageEnglish
Pages (from-to)22–36
JournalApplications and Applied Mathematics: An International Journal
Issue number1
StatePublished - 1 Jan 2012


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