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On some definite integrals involving Legendre functions
Published online by Cambridge University Press: 20 January 2009
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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.
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- 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 2 I have to thank a referee for suggesting this notation and other modifications in this paper.
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