A Comparison of Computational Methods and Algorithms for the Complex Gamma Function

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A Comparison of Computational Methods and Algorithms for the Complex Gamma Function

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 1 , Issue 1 (March 1975) table of contents

Pages: 56 - 70

Year of Publication: 1975

ISSN:0098-3500

Author

Edward W. Ng

Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA

Publisher

ACM New York, NY, USA

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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	ABRAMOWITZ, M., AND STEGUN, I. Eds. Handbook of Mathematical Functions. Nat. Bur. Standards Appl. Math. Series 55, U S. Govt. Printing Office, Washington, D.C., 1964, Ch. 1.
	2	CODY, W. J., AND HILLSTROM, K.E. Chebyshev approximations for the Coulomb phase shift. Math. Comp. 24 (1970), 671-678.
	3	CODY, J. W., AND HILLSTROM, K.E. Chebyshev approximations for the natural logarithm of the gamma function. Math. Comp. 21 (1967), 198-203.
	4	HART, J., ~T AL. Handbook of Computer Approximations. Wiley, New York, 1968.
	5	Hirondo Kuki, Algorithm 421: complex gamma function with error control [S14], Communications of the ACM, v.15 n.4, p.271-272, April 1972 [doi>10.1145/361284.361298]
	6	C. W. Lucas, Jr. , C. W. Terrill, Complex gamma function, Communications of the ACM, v.14 n.1, p.48-49, Jan. 1971 [doi>10.1145/362452.362508]
	7	LUKF,, Y.L. Evaluation of the gamma function by means of Pad~! approximations. SIAM J. Math. Anal. 1 (1970), 266-281.
	8	NG, E. A comparison of computational methods and algorithms for the complex gamma function. Tech. Memo. Series 33, Jet Propulsion Lab., Pasadena, Calif., 1974.
	9	Nmi~SES, N. D~e Gammafunct~on. Vol. 1: Handbuch der Theome der Gammafunktwn. Vol. 2: Theorie des Integrallogarithmus und verwandter Transzendenten. Chelsea, New York, 1965.
	10	S~IRA, R. Calculation of the gamma function by Stlrling's formula. Math. Comp. 25 (1971), 317-322.
	11	WHITTAKEa, E. T., AND WATSON, G.N. A Course of Modern Analys~s, 4th ed. Cambridge U. Press, New York, 1962.
	12	WIMe, J. On recursive computation. Rep. ARL 69-0186, Aerospace Research Lab., Nov. 1969. Clearinghouse, U.S. Dep. of Commerce, Springfield, Va.