A note on the associated Legendre polynomials
Glasgow mathematical journal, Tome 6 (1964) no. 3, pp. 156-160
Voir la notice de l'article provenant de la source Cambridge University Press
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 obtainPutting a =v–1⁄2 in the relation [4, p. 283]We get
Khandekar, P. R. A note on the associated Legendre polynomials. Glasgow mathematical journal, Tome 6 (1964) no. 3, pp. 156-160. doi: 10.1017/S2040618500034924
@article{10_1017_S2040618500034924,
author = {Khandekar, P. R.},
title = {A note on the associated {Legendre} polynomials},
journal = {Glasgow mathematical journal},
pages = {156--160},
year = {1964},
volume = {6},
number = {3},
doi = {10.1017/S2040618500034924},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034924/}
}
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