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Fast Hankel Transforms Using Related and Lagged Convolutions
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Volume 8 ,  Issue 4  (December 1982) table of contents
Pages: 344 - 368  
Year of Publication: 1982
ISSN:0098-3500
Author
Walter L. Anderson  U.S. Geological Survey, Box 25046, Mail Stop 964, Denver Federal Center, Denver, CO
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 11,   Downloads (12 Months): 85,   Citation Count: 3
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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
ANDERSON, W.L. Improved digital filters for evaluating Fomaer and Hankel transform integrals. NTIS Rep PB-242-800, National Technical Information Service, U.S. Dep. of Commerce, Springfield, Va., 1975.
 
2
ANDERSON, W.L. An optimal method for evaluating a class of convolution integrals with related kernels. NTIS Rep. PB-252-156, National Technical Information Service, U.S Dep. of Commerce, Springfield, Va., 1976.
 
3
ANDERSON, W.L. Numerical integration of related Hankel transforms of orders 0 and 1 by adaptive digital filtering. Geophysics 44 (July 1979), 1287-1305.
 
4
BATEMAN, H. Tables of Integral Transforms McGraw-Hill, New York, 1954.
 
5
CORNILLE, P. Computation of Hankel transforms. SIAM Rev. 14 (April 1972), 278-285.
 
6
DAVIS, P J, AND RABINOWITZ, P. Methods of Numertcal Integration Academic Press, New York, 1975
 
7
GRADSHTEYN, I.S., AND RYZHIK, I.M. Tables of Integrals, Seines, and Products. Academic Press, New York, 1965.
 
8
HART, J.F., CHENEY, E W., LAWSON, C.L., MAEHLY, H.j., MESZTENYI, C K., RICE, J.R., THACHER, H G., JR., AND WITZGALL, C. Computer Approxtmatwns. Wiley, New York, 1968.
 
9
JOHANSEN, H.K., AND SORENSEN, K. Fast Hankel transforms. Geophysical Prospecting 27 (Dec. 1979), 876-901.
 
10
KOEFOED, 0., GHOSH, D.P., AND POLMAN, G.J. Computation of type curves for electromagnetic{ depth sounding with a horizontal transmitting coil by means of a digital linear filter. Geophysical Prospecting 20 (June 1972), 406-420.
 
11
OPPENHEIM, A.V., FRISK, G.V., AND MARTINEZ, D.R An algorithm for the numerical evaluation of the Hankel transform. Proc. IEEE 66 (Feb. 1978), 264-265.
 
12
PAPO~LIS, A The Fourier Integral and Its Applications. McGraw-Hill, New York, 1962.
 
13
SHIJBERT, H.A., AND LIN, C.C. On numerical evaluation of a convolution-type integral. Proc. IEEE 61 (Oct. 1973), 1513-1515.
 
14
SIEGMAN, A.E. Quasi fast Hankel transform. Opt. Lett. 1 (July 1977), 13-15.
 
15
SNEDDON, I N. The Use of Integral Transforms. McGraw-Hill, New York, 1972.
 
16
TSAS6, L., BROWN, R., KONG, J.A., AND SIMMONS, G. Numerical evaluation of electromagnetic fields due to dipole antennas in the presence of stratified media. J. Geophys Res. 79 (May 1974), 2077-2080.
 
17
V~RMA, R.K. Detectability by electromagnetic sounding systems. IEEE Trans. Geosci. Elec. tron. GE-15 (Oct. 1977), 232-251.
 
18
WATSON, G.N. A Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge University Press, New York, 1966.