Computation of Catalan's constant using Ramanujan's formula

Authors:
G. J. Fee
Affiliations:
Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Venue:
ISSAC '90 Proceedings of the international symposium on Symbolic and algebraic computation
Year:
1990

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Cited 1

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Abstract

We have used some formulas due to Ramanujan for the multiple precision computation of Catalan's constant C = 0.915 ··· . The algorithm has been implemented in Maple and C has been computed to 20,000 decimal places. The resulting program is very simple yet efficient. It computes N digits of C in &Ogr;(N2) time and &Ogr;(N) space.