Geodesic
On the binomial identities of Frisch and Klamkin
Journal of integer sequences, Tome 19 (2016) no. 7.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 05A19, 11B65, 33C10
Keywords: binomial identity, hypergeometric series, Gauss hypergeometric summation formula, binomial inversion 
@article{JIS_2016__19_7_a3,
     author = {Gould, H.W. and Quaintance, Jocelyn},
     title = {On the binomial identities of {Frisch} and {Klamkin}},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {7},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_7_a3/}
}
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Gould, H.W.; Quaintance, Jocelyn. On the binomial identities of Frisch and Klamkin. Journal of integer sequences, Tome 19 (2016) no. 7. http://geodesic.mathdoc.fr/item/JIS_2016__19_7_a3/