Some integrals involving associated Legendre functions
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- by S. N. Samaddar PDF
- Math. Comp. 28 (1974), 257-263 Request permission
Abstract:
Calculations of some uncommon integrals involving Legendre functions and their derivatives, which may not be readily evaluated using known results, are presented. Some results show a special type of orthogonality relation in a certain sense. A few of these integrals find their applications in diffraction or scattering problems.References
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S. N. Samaddar, Scattering of Cylindrical Waves by a Spherical Object, Proc. 1971 International Sympos. Antennas and Propagation, Sendai, Japan, Sept. 1-3, 1971, p. 195.
P. M. Morse & H. Feshback, Methods of Theoretical Physics. Vol. II, Chap. 11, McGraw-Hill, New York, 1953. MR 15, 583.
E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonies, Chelsea, New York, 1955. MR 16, 356.
- D. S. Jones, The theory of electromagnetism, A Pergamon Press Book, The Macmillan Company, New York, 1964. MR 0161555
- G. Power, The associated Legendre polynomial, Math. Gaz. 38 (1954), 115–116. MR 60637, DOI 10.2307/3609822
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 257-263
- MSC: Primary 33A45
- DOI: https://doi.org/10.1090/S0025-5718-1974-0328157-4
- MathSciNet review: 0328157