The Computation of Real Fractional Order Bessel Functions of the Second Kind

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The Computation of Real Fractional Order Bessel Functions of the Second Kind

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 3 , Issue 3 (September 1977) table of contents

Pages: 232 - 239

Year of Publication: 1977

ISSN:0098-3500

Authors

W. J. Cody	Argonne National Laboratory, 9700 S. Cass Ave, Argonne, IL
Rose M. Motley	Argonne National Laboratory, 9700 S. Cass Ave, Argonne, IL
L. Wayne Fullerton	Los Alamos Scientific Laboratory, Los Alamos, NM

Publisher

ACM New York, NY, USA

Bibliometrics

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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	BROWN, W.S. Altran Users Manual, 3rd ed., Bell Labs., Murray Hill, N.J., 1973.
	2	W. J. Cody, The FUNPACK Package of Special Function Subroutines, ACM Transactions on Mathematical Software (TOMS), v.1 n.1, p.13-25, March 1975 [doi>10.1145/355626.355631]
	3	CODY, W.J., MOTLEY, R.M., AND FULLERTON, L.W. Coefficients for the approximation of Y,(x). AMD Tech Memo. 284, Argonne National Lab. (In preparation)
	4	Dxvis, P.J. Gamma function and related functions. In Handbook of Mathematical Functions w~th Formulas, Graphs and Mathemahcal Tables, M. Abramowitz and I. A. Stegun, Eds., Nat. Bur. Standards Appl. Math. Series 55, Washington, D.C., 1964, oh. 6, pp. 253- 293.
	5	GAuTscm, W Computational aspects of three-term recurrence relations. SIAM Rev. 9 (1967), 24-82.
	6	GOLDSTEIN, M., AND TH&LER, R.M. Recurrence techniques for the calculation of Bessel functions. MTAC 13 (1959), 102-108.
	7	Andrew D. Hall, Jr., The Altran system for rational function manipulation — a survey, Communications of the ACM, v.14 n.8, p.517-521, Aug. 1971 [doi>10.1145/362637.362644]
	8	JORDAN, D F. ANL 370S BESJY. Unpublished AMD Subroutine Library Document, Argonne National Lab, Argonne, Ill., 1967.
	9	W. Kahan, Pracniques: further remarks on reducing truncation errors, Communications of the ACM, v.8 n.1, p.40, Jan. 1965 [doi>10.1145/363707.363723]
	10	OLVER, F.W J. Bessel functions of integer order in Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, M. Abramowitz and R. A. Stegun, Eds., Nat. Bur. Standards Appl. Math. Series 55, Washington, D.C., 1964, eh. 9, pp. 355-433.
	11	STrtECOK, A.J., AND GREGORY, J.A. High precision evaluation of the irregular Coulomb wave functions Math. Comp. 26 (1972), 955-961.
	12	TEMME, N.M. On the numemcal evaluation of the ordinary Bessel function of the second kind. Rep. TW 152/75, Mathematisch Centrum, Amsterdam, The Netherlands, 1975.