Computation of Catalan's constant using Ramanujan's formula

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Computation of Catalan's constant using Ramanujan's formula

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the international symposium on Symbolic and algebraic computation table of contents

Tokyo, Japan

Pages: 157 - 160

Year of Publication: 1990

ISBN:0-201-54892-5

Author

G. J. Fee

Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

Sponsor

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

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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.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	AS66	M. Abramowitz and I.A. Stegun. Handbook of Mathematical Functions. Nat. Bur. Standards AppI. Math. Series 55, US Government Printing Office, Washington, D.C., i966. (Sth printing).
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	BM80	R.P. Brent and E.M. McMillan. Some New Algoritluns for High-Precision Computation of Euler's Constant. Math. Comp., 34:305-312, 1980.
	Gla13	J.W.L. Olaisher. Numerical Values of the Series 1 - I/3n + 1/5'~ - 1/7'~ + 1/9'* -&c. For n---2,4,6. Messanger of Math., 42:35-58, 1913.
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