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Start Over Descriptor "Partial fraction decomposition" Database Academic Search Index Publisher aliakbar montazer haghighi

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1 results on '"Partial fraction decomposition"'

1. q-Analogs of Identities Involving Harmonic Numbers and Binomial Coefficients.

Author

Mansour, Toufik, Shattuck, Mark, and Chunwei Song

Subjects
*BINOMIAL coefficients, *PARTIAL fractions, *MATHEMATICAL decomposition, *COMPUTER software, *GEOMETRIC congruences
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2012

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