> you are right, the value of the Legendre polynomial should be 1 at x=1 for
> all orders and the polynomials should be defined based on the interval
> [-1,1]. As the deal.II libraray is based on the reference interval [0,1]
> the polynomials are transformed to that interval, that operation is
> documented. Furthermore, the resulting polynomials are scaled in order to
> be orthonormal instead of just orthogonal over that interval.
> Unfortunately, the latter operation is not properly documented.

Excellent point, Tobias, and thanks for pointing this out. I've updated the 
documentation to state this.

Best
 W.

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Wolfgang Bangerth                email:            [email protected]
                                 www: http://www.math.tamu.edu/~bangerth/
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