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 McCarthy (Integers 11 (2011): A37) and Prodinger (Integers 8 (2008): A10) by making use of q -partial fractions.
Mansour, Toufik; Shattuck, Mark; and Song, Chunwei
q -Analogs of Identities Involving Harmonic Numbers and Binomial Coefficients,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 7,
1, Article 2.
Available at: https://digitalcommons.pvamu.edu/aam/vol7/iss1/2