Numerical evaluation of the Hankel transform

Computer Physics Communications

Volumn 116, Issue 2-3, 1999, Pages 278-294

  Secada, José D ^a  

^a INSTITUTO DE CIBERNÉTICA   (Cuba)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHEBYSHEV APPROXIMATION;

BESSEL FUNCTION; HANKEL TRANSFORMATION;

MATHEMATICAL TRANSFORMATIONS;

EID: 0033076548     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0010-4655(98)00108-8     Document Type: Article

References (24)

1. I.N. Sneddon, Fourier Transforms (McGraw-Hill, New York, 1951).
2. R. Bracewell, The Fourier Transform and its Applications (McGraw-Hill, New York, 1965).
3. S.M. Candel, An algorithms for the Fourier Bessel transform, Comput. Phys. Commun. 23 (1981) 343.
4. S.M. Candel, Dual algorithms for fast calculation of the Fourier Bessel transform, IEEE Trans. Acoust., Speech, Signal Processing, Vol. ASSP-29, no. 5 (Oct. 1981) pp. 963-972.
5. D.R. Mook, An algorithm for the numerical evaluation of the Hankel and Abel transform, IEEE Trans. Acoust., Speech, Signal Processing. Vol. ASSP-31, no. 4 (August 1983) pp. 979-985.
6. S.M. Candel, Simultaneous calculation of Fourier-Bessel transforms up to order N, J. Comput. Phys. 44 (1981) 243.
7. S.M. Candel, Computation of even and odd Fourier-Bessel transforms up to order N (La Recherche Aérospatiale, 1981) [English Edition].
8. J.W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
9. D. Guyomar, J. Powers, Boundary effects and transient radiation field from vibrating surfaces, J. Acoust. Soc. Am. 77 (3) (1985).
10. A. Papoulis, Systems and Transforms with application in Optics (McGraw-Hill, New York, 1968).
11. A. Tijonov, A. Samaisky, Ecuaciones de la Física Matemática (MIR, Moscow, 1980).
12. E. Isaacson, H.B. Keller, Analysis of Numerical Methods (Wiley, New York, 1966).
13. B. Carnahan, H.A. Luther, J.O. Wilkes, Applied Numerical Methods (Wiley, New York, 1969).
14. L.R. Rabiner, B. Gold, Theory and Application of Digital Signal Processing (Prentice Hall, Englewood Cliffs, NJ, 1975).
15. W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes The Art of Scientific Computing (Cambridge Univ. Press, Cambridge, 1986).
16. L.R. Rabiner, FFT subroutines for Sequences with Special Properties, Programs for Digital Signal Processing (IEEE Press, New York, 1979).
17. B. Alpert, V. Rokhlin, A Fast Algorithm for the Evaluation of Legendre Expansions, Technical Report 671, Computer Science Department (Yale University, New Haven, CT, 1988).
18. N.I. Danilina, N.S. Dubrovskaya, O.P. Kvasha, G.L. Smirnov, Computational Mathematics, English translation (MIR Publishers, Moscow, 1988).
19. D.D. McCracken, W.S. Dorn, Numerical Methods and Fortran Programming (Wiley, New York, 1964).
20. I.N. Sneddon, Funciones Especiales Aplicadas a la Fisica y la Quimica (Editorial DOSSAP, Madrid, 1960).
21. Mapple V, Release 4.
22. A. Prudnikov, Y.A. Brichkov, O.I. Marichev, Integrals and Series (Editorial Nauka, Moscow, 1983).
23. M. Abramovitz, I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1969).
24. G.D. Bergland, M.T. Dolan, Fast Fourier Transform Algorithms, Programs for Digital Signal Processing (IEEE Press, New York, 1979).