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Line 1: [[Image:LegendreRational1.png\|thumb\|300px\|Plot of the Legendre rational functions for n=0,1,2 and 3 for ''x'' between 0.01 and 100.]] In [[mathematics]] the '''Legendre rational functions''' are a sequence of [[orthogonal functions]] on [0, ∞). ~~The~~They are obtained by composing the [[Cayley transform]] with [[Legendre polynomials]]. A rational Legendre function of degree ''n'' is defined as:

Legendre rational functions: Difference between revisions