Algorithm 794

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Algorithm 794: numerical Hankel transform by the Fortran program HANKEL

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 25 , Issue 2 (June 1999) table of contents

Pages: 240 - 250

Year of Publication: 1999

ISSN:0098-3500

Author

Thomas Wieder

Darmstadt Univ. of Technology, Darmstadt, Germany

Publisher

ACM New York, NY, USA

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Software for " Numerical Hankel transform by the Fortran program HANKEL"

ABSTRACT

The numerical evaluation of the Hankel transform poses the problems of both infinite integration and Bessel function calculation. Using the corresponding numerical program routines from the literature, a Fortran program has been written to perform the Hankel transform for real functions, given either in analytical form as subroutines or in discrete form as tabulated data.

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	Walter L. Anderson, Fast Hankel Transforms Using Related and Lagged Convolutions, ACM Transactions on Mathematical Software (TOMS), v.8 n.4, p.344-368, Dec. 1982 [doi>10.1145/356012.356014]
	2	COURANT, R. AND HILBERT, D. 1968. Methoden der Mathematischen Physik. Springer-Verlag, Berlin, Germany.
	3	ERDELYI, A., MAGNUS, W., OBERHETTINGER, F., AND TRICOMI, F. 1954. Tables of Integral Transforms. McGraw-Hill, Inc., New York, NY.
	4	KORN, A. AND KORN, T. 1968. Mathematical Handbook for Scientists and Engineers. McGraw-Hill, Inc., New York, NY.
	5	James Lyness , Gwendolen Hines, ALGORITHM 639: to integrate some infinite oscillating tails, ACM Transactions on Mathematical Software (TOMS), v.12 n.1, p.24-25, March 1986 [doi>10.1145/5960.214318]
	6	PIESSENS, R. 1982. Automatic computation of Bessel function integrals. Comput. Phys. Commun. 25, 289.
	7	SIEGMAN, A. 1980. Quasi fast Hankel transform. Opt. Lett. 1, 13-15.
	8	K. Sikorski , F. Stenger , J. Schwing, Algorithm 614: a FORTRAN subroutine for numerical integration in H(sub)p, ACM Transactions on Mathematical Software (TOMS), v.10 n.2, p.152-157, June 1984 [doi>10.1145/399.449]
	9	SNEDDON, I. 1955. Functional Analysis. In Handbuch der Physik, S. Flugge, Ed. Springer-Verlag, Berlin, Germany.
	10	WATERLOO MAPLE. 1996. Maple. (Software). Waterloo Maple, Inc., Waterloo, Ontario, Canada. http://www.maplesoft.com
	11	TALMAN, g. 1983. Lsfbtr: A subroutine for calculating spherical bessel transforms. Comput. Phys. Commun. 30, 93.
	12	WHITTAKER, E. AND WATSON, G. 1978. Modern Analysis. Cambridge University Press, New York, NY.