International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2007 / Article

Research Article | Open Access

Volume 2007 |Article ID 019381 | https://doi.org/10.1155/2007/19381

Jonathan M. Borwein, Marc Chamberland, "Integer Powers of Arcsin", International Journal of Mathematics and Mathematical Sciences, vol. 2007, Article ID 019381, 10 pages, 2007. https://doi.org/10.1155/2007/19381

Integer Powers of Arcsin

Academic Editor: Ahmed Zayed
Received01 Nov 2006
Revised28 Feb 2007
Accepted18 Apr 2007
Published31 May 2007

Abstract

New simple nested-sum representations for powers of the arcsin function are given. This generalization of Ramanujan's work makes connections to finite binomial sums and polylogarithms.

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Copyright © 2007 Jonathan M. Borwein and Marc Chamberland. 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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