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Talk:Legendre rational functions

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There is a problem on the page because if

then

could not be... i think there s some sort of mixup with the polynoms...

Indeed, there is a confusion about the modified Legendre rational functions and the Legendre rational functions. The latter has no 1/(x+1), just the sqrt(2) normalization. By the way, some authors cite the formula without the sqrt(2)...

A cleanup is required to make the possible definitions of functions clearly separated.

References: LRF: Guo,Shen,Wang: J Sci Comput (15), 117 mod LRF: Guo, Shen: Indiana Univ J of Math 50(2001) 181

An application: Parand, Razzaghi: Physica Scripta, 69 (2004) 353

Szabolcs —Preceding unsigned comment added by Mazsx (talkcontribs) 15:17, 31 January 2008 (UTC)[reply]