The Euler Series Transformation and the Binomial Identities of Ljunggren, Munarini and Simons

Details The Euler Series Transformation and the Binomial Identities of Ljunggren, Munarini and Simons The Euler Series Transformation and the Binomial Identities of Ljunggren, Munarini and Simons

2009-12-29

arxiv.org/abs/0912.5358v2

Mathematics

Combinatorics

Scientific paper

It is shown that the curious identity of Simons follows immediately from
Euler's series transformation formula and also from an identity due to
Ljunggren. The relation of Simons' identity to Legendre's polynomials is also
discussed. At the end we use the generalized Euler series transformation to
obtain two recent binomial identities of Munarini.

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