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.
Research Article | Open Access
Integer Powers of Arcsin
Academic Editor: Ahmed Zayed
Received01 Nov 2006
Revised28 Feb 2007
Accepted18 Apr 2007
Published31 May 2007
References
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Copyright
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.