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A note on the associated Legendre polynomials
Published online by Cambridge University Press: 18 May 2009
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This paper is paper gives what appears to be a new Rodrigues’ formula for the Associated Legendre Polynomials defined by [5, p. 122]
with the restriction that m is an even positive integer, which helps to evaluate some integrals. Putting m = 2k in (1.1) and replacing Pn(x) by the Gegenbauer Polynomial and using [3, p. 176]
We obtain
Putting a =v–½ in the relation [4, p. 283]
We get
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- Copyright © Glasgow Mathematical Journal Trust 1964