On Temme's Algorithm for the Modified Bessel Function of the Third Kind

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On Temme's Algorithm for the Modified Bessel Function of the Third Kind

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 6 , Issue 4 (December 1980) table of contents

Pages: 581 - 586

Year of Publication: 1980

ISSN:0098-3500

Author

J. B. Campbell

Divisional of Electrical Engineering, National Research Council of Canada, Ottawa, Ont., Canada K1A OR8

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 11, Downloads (12 Months): 60, Citation Count: 3

Additional Information:

references cited by index terms

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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	BLANCH, G. Numerical evaluation of continued fractions. SIAM Rev 6 (1964), 383-421
	2	CAMPBELL, J.B. Bessel functions J,(x) and Y,(x) of real order and real argument. Comput. Phys Commun. 18 (1979), 133-142
	3	CAMPBELL, J.B A FORTRAN IV subroutine for the modified Bessel function of the third kind of real order and real argument. Rep. NRC/ERB-925, National Res Council, Canada, 1980.
	4	GAUTSCHI, W. Computational aspects of the three term recurrence relations. SIAM Rev. 9 (1967), 24-82.
	5	HITOTUMATU, S. On the numerical computation of Bessel functions through continued fractions. Comment. Math Univ. St. Paul 16, 1967-1968, pp 89-113
	6	OLVER, F W.J., AND SOOKNE, D.J. Note on backward recurrence algorithms Math. Comput. 26 (1972), 941-947
	7	TEMME, N.M On the numerical evaluation of the modified Bessel function of the third kind J . Comput. Phys. 19 (1975), 324-337.
	8	THACHER, H.C., JR. New backward recurrences for Bessel functions. Math Comput 33 (1979), 744-764
	9	ZIMMERMAN, K.L., ELDER, A.S., AND DEPUE, A.K. User's manual for the BRL subroutine to calculate Bessel functions of integral order and complex argument ARBRL-TR-02068, Ballistic Res. Lab., Aberdeen Proving Ground, Md,, 1978.

CITED BY 3

	W. J. Cody, Algorithm 715; SPECFUN—a portable FORTRAN package of special function routines and test drivers, ACM Transactions on Mathematical Software (TOMS), v.19 n.1, p.22-30, March 1993
	Frank E. Harris, Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions, Journal of Computational and Applied Mathematics, v.215 n.1, p.260-269, May, 2008
	Erasmo M. Ferreira , Javier Sesma, Zeros of the Macdonald function of complex order, Journal of Computational and Applied Mathematics, v.211 n.2, p.223-231, February, 2008

INDEX TERMS

Primary Classification:
G. Mathematics of Computing

Additional Classification:
F. Theory of Computation
F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
F.2.2 Nonnumerical Algorithms and Problems
Subjects: Geometrical problems and computations

G. Mathematics of Computing
G.2 DISCRETE MATHEMATICS

General Terms:
Algorithms, Theory

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