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Line 4: :<math>R_n(x) = \frac{\sqrt{2}}{x+1}\,L_n\left(\frac{x-1}{x+1}\right)</math> where <math>L_n(x)</math> is a [[Legendre polynomial]]. These functions are ~~eigenfunctions~~[[eigenfunction]]s of the singular [[Sturm-Liouville problem]]: :<math>(x+1)\partial_x(x\partial_x((x+1)v(x)))+\lambda v(x)=0</math>

Legendre rational functions: Difference between revisions