spherical Bessel transform
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1—10 of 23 matching pages
1: 10.74 Methods of Computation
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Spherical Bessel Transform
►The spherical Bessel transform is the Hankel transform (10.22.76) in the case when is half an odd positive integer. …2: Bibliography T
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LSFBTR: A subroutine for calculating spherical Bessel transforms.
Comput. Phys. Comm. 30 (1), pp. 93–99.
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3: Bibliography L
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Optimal cylindrical and spherical Bessel transforms satisfying bound state boundary conditions.
Comput. Phys. Comm. 99 (2-3), pp. 297–306.
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4: Bibliography S
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Numerical evaluation of spherical Bessel transforms via fast Fourier transforms.
J. Comput. Phys. 100 (2), pp. 294–296.
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5: 1.14 Integral Transforms
§1.14 Integral Transforms
…6: 10.1 Special Notation
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►For older notations see British Association for the Advancement of Science (1937, pp. xix–xx) and Watson (1944, Chapters 1–3).
7: 1.17 Integral and Series Representations of the Dirac Delta
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►Integral representation (1.17.12_1), (1.17.12_2) is the equivalent of the transform pairs, (1.14.9) (1.14.11), (1.14.10) (1.14.12), respectively.
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Bessel Functions and Spherical Bessel Functions (§§10.2(ii), 10.47(ii))
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1.17.14
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Spherical Harmonics (§14.30)
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1.17.25
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8: 18.17 Integrals
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§18.17(v) Fourier Transforms
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… ►Ultraspherical
… ►§18.17(vi) Laplace Transforms
… ►§18.17(vii) Mellin Transforms
…9: Bibliography D
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Complex zeros of linear combinations of spherical Bessel functions and their derivatives.
SIAM J. Math. Anal. 4 (1), pp. 128–133.
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Integral Transforms and their Applications.
2nd edition, Applied Mathematical Sciences, Vol. 25, Springer-Verlag, New York.
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Integral transforms and their applications.
Third edition, CRC Press, Boca Raton, FL.
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Chebyshev series for the spherical Bessel function
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Comput. Phys. Comm. 18 (1), pp. 73–86.
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Handbuch der Laplace-Transformation. Bd. II. Anwendungen der Laplace-Transformation. 1. Abteilung.
Birkhäuser Verlag, Basel und Stuttgart (German).
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10: 29.18 Mathematical Applications
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►when transformed to sphero-conal coordinates
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…(29.18.5) is the differential equation of spherical Bessel functions (§10.47(i)), and (29.18.6), (29.18.7) agree with the Lamé equation (29.2.1).
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►The wave equation (29.18.1), when transformed to ellipsoidal
coordinates
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