International Journal of Mathematics and Mathematical Sciences (Jan 2007)

Integer Powers of Arcsin

  • Jonathan M. Borwein,
  • Marc Chamberland

DOI
https://doi.org/10.1155/2007/19381
Journal volume & issue
Vol. 2007

Abstract

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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.