Gould, H.W.; Quaintance, Jocelyn

On the binomial identities of Frisch and Klamkin

J. Integer Seq. 19(7), Article 16.7.7, 4 p., electronic only (2016)

Summary

Summary: In this paper we investigate two somewhat similar identities for sums of ratios of binomial coefficients. We give several proofs, and note that the identities all follow from a hypergeometric identity of Gauss. Inverse identities are also given.

Mathematics Subject Classification

05A19, 11B65, 33C10

Keywords/Phrases

binomial identity, hypergeometric series, Gauss hypergeometric summation formula, binomial inversion

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