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The construction of the Maxwell representation for a cylindrically symmetric spherical harmonic of arbitrary order. (English) Zbl 0684.65016

This paper gives an algorithm for determining the general structure of the Maxwell invariant representation for cylindrically symmetric spherical harmonics of arbitrary order.
Reviewer: Y.Kobayashi

MSC:

65D20 Computation of special functions and constants, construction of tables
33C55 Spherical harmonics
Full Text: DOI

References:

[1] Hobson, E. W., The Theory of Spherical and Ellipsoidal Harmonics, ((1931), Cambridge Univ. Press: Cambridge Univ. Press London/ New York), 119 · Zbl 0004.21001
[2] Hobson, E. W., The Theory of Spherical and Ellipsoidal Harmonics, ((1931), Cambridge Univ. Press: Cambridge Univ. Press London/ New York), 135-137 · Zbl 0004.21001
[3] Mezei, M.; Campbell, E. S., J. Comput. Phys., 20, 110 (1976)
[4] Mezei, M.; Campbell, E. S., Theor. Chim. Acta (Berlin), 43, 227 (1977)
[5] Campbell, E. S., J. Phys. Chem. Solids, 26, 1395 (1965)
[6] Campbell, E. S.; Mezei, M., J. Comput. Phys., 21, 114 (1976)
[7] Campbell, E. S., Helv. Phys. Acta, 40, 387 (1967)
[8] Campbell, E. S.; Mezei, M., Mol. Phys., 57, 1201 (1986)
[9] Campbell, E. S.; Mezei, M., J. Comput. Phys., 47, 245 (1982) · Zbl 0485.65081
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