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On some definite integrals involving Legendre functions

Published online by Cambridge University Press:  20 January 2009

N. G. Shabde
Affiliation:
University of Edinburgh.
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A few definite integrals involving more than two Legendre functions in the integrand have been considered by Ferrers, Adams, Dougall, Nicholson and Bailey. We take for example the following integrals.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1934

References

page 41 note 1 Hobson, Spherical and Ellipsoidal Harmonics, p. 87. The references to Ferrers and Adams, who considered this integral, are given there.Google Scholar

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page 42 note 1 L.c., formula (5·4).

page 42 note 2 I have to thank a referee for suggesting this notation and other modifications in this paper.

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