Jump to ContentJump to Main Navigation
Show Summary Details

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

Khristo N. Boyadzhiev
Published Online: 2010-07-08 | DOI: https://doi.org/10.1515/integ.2010.022


We point out that the curious identity of Simons follows immediately from Euler's series transformation formula and also from an identity due to Ljunggren. We also mention its relation to Legendre's polynomials. At the end we use the generalized Euler series transformation to obtain two recent binomial identities of Munarini.

Keywords.: Binomial identity; Euler series transformation; Ljunggren identity; Simons' identity; Legendre polynomials

About the article

Received: 2009-08-31

Accepted: 2010-02-15

Published Online: 2010-07-08

Published in Print: 2010-07-01

Citation Information: Integers, Volume 10, Issue 3, Pages 265–271, ISSN (Print) 1867-0652, DOI: https://doi.org/10.1515/integ.2010.022.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Mourad Rahmani
Arab Journal of Mathematical Sciences, 2014, Volume 20, Number 1, Page 11

Comments (0)

Please log in or register to comment.
Log in