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Some integrals involving associated Legendre functions

Author: S. N. Samaddar
Journal: Math. Comp. 28 (1974), 257-263
MSC: Primary 33A45
MathSciNet review: 0328157
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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 [Enhancements On Off] (What's this?)

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  • [3] E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonies, Chelsea, New York, 1955. MR 16, 356.
  • [4] D. S. Jones, The theory of electromagnetism, International Series of Monographs on Pure and Applied Mathematics, Vol. 47. A Pergamon Press Book, The Macmillan Co., New York, 1964. MR 0161555
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Keywords: Legendre function, integration by parts, recurrence relations, Rodrigues' formula, Leibnitz theorem for derivatives of products, Kronecker delta, orthogonality
Article copyright: © Copyright 1974 American Mathematical Society

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