Integer Powers of Arcsin

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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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences Vol. 2007; pp. 167 - 176
Main Authors: Borwein, Jonathan M., Chamberland, Marc
Format: Journal Article
Language:English
Published: Hindawi Limiteds 01-01-2007
Hindawi Limited
Online Access:Get full text
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Description
Summary: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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SourceType-Scholarly Journals-1
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ISSN:0161-1712
1687-0425
DOI:10.1155/2007/19381