A short proof of an identity of Sylvester

Bhatngar, Gaurav

doi:https://doi.org/10.1155/S0161171299224313

International Journal of Mathematics and Mathematical Sciences

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Volume 22 | Article ID 105381 | https://doi.org/10.1155/S0161171299224313

A short proof of an identity of Sylvester

Gaurav Bhatngar¹

Received16 Oct 1996

Abstract

We present two short proofs of an identity found by Sylvester and rediscovered by Louck. The first proof is an elementary version of Knuth's proof and is analogous to Macdonald's proof of a related identity of Milne. The second is Sylvester's own proof of his identity.

Copyright

Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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