Extended-Range Arithmetic and Normalized Legendre Polynomials

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Extended-Range Arithmetic and Normalized Legendre Polynomials

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 7 , Issue 1 (March 1981) table of contents

Pages: 93 - 105

Year of Publication: 1981

ISSN:0098-3500

Authors

J. M. Smith	National Bureau of Standards, Washington, DC
F. W. J. Olver	National Bureau of Standards, Washington, DC
D. W. Lozier	National Bureau of Standards, Washington, DC

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 43, Citation Count: 4

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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.

	1	BATEMAN MANUSCRIPT PROJECT H~gher Transcendental Functions, Vol. i, A. Erd61yl (Ed.), McGraw-Hill, New York, 1953.
	2	BELOUSOV, S.L. Tables of Normalized Assoctated Legendre Polynomials (D.E. Brown, Trans.). Mathematical Tables Series, Vol. 18, Pergamon, New York, 1962
	3	Richard P. Brent, A Fortran Multiple-Precision Arithmetic Package, ACM Transactions on Mathematical Software (TOMS), v.4 n.1, p.57-70, March 1978 [doi>10.1145/355769.355775]
	4	EDMONDS, A.R. Angular Momentum m Quantum Mechanics, 2nd ed. Princeton University Press, Princeton, N.J., 1960.
	5	JAHNKE, E., EMDE, F., AND LOSCH, F. Tables of H~gher Functions, 6th ed. McGraw-Hill, New York, 1960.
	6	D. W. Lozier , J. M. Smith, Algorithm 567: Extended-Range Arithmetic and Normalized Legendre Polynomials [A1], [C1], ACM Transactions on Mathematical Software (TOMS), v.7 n.1, p.141-146, March 1981 [doi>10.1145/355934.355944]
	7	MORSE, P M., AND FESHBACH, H. Methods of Theoretical Physics, Part II. McGraw-Hill, New York, 1953.
	8	OLVER, F W.J. Asymptot~cs and Special Functions. Academic Press, New York, 1974.
	9	OLVER, F.W J., AND SMITH, J.M. Legendre funcUons on the cut. (In preparation).
	10	ROSE, M.E. Elementary Theory of Angular Momentum. Wdey, New York, 1957.
	11	RYDER, B.G. Fortran verifier User's guide. Computing Science Tech. Rep. #12, Bell Labs, Murray Hill, N.J, May 1973.
	12	W. T. Wyatt, Jr. , D. W. Lozier , D. J. Orser, A Portable Extended Precision Arithmetic Package and Library with Fortran Precompiler, ACM Transactions on Mathematical Software (TOMS), v.2 n.3, p.209-231, Sept. 1976 [doi>10.1145/355694.355695]

CITED BY 4

	C. W. Clenshaw , F. W. J. Olver, Beyond Floating Point, Journal of the ACM (JACM), v.31 n.2, p.319-328, April 1984
	D. W. Lozier , J. M. Smith, Algorithm 567: Extended-Range Arithmetic and Normalized Legendre Polynomials [A1], [C1], ACM Transactions on Mathematical Software (TOMS), v.7 n.1, p.141-146, March 1981
	John R. Hauser, Handling floating-point exceptions in numeric programs, ACM Transactions on Programming Languages and Systems (TOPLAS), v.18 n.2, p.139-174, March 1996
	Eldon R. Hansen , Merrell L. Patrick , Richard L. C. Wang, Polynomial evaluation with scaling, ACM Transactions on Mathematical Software (TOMS), v.16 n.1, p.86-93, March 1990