legendre_shifted_polynomial, a Python code which evaluates the shifted Legendre polynomial.

The standard Legendre polynomial P(n,x) is defined over the interval [-1,+1]. The shifted Legendre polynomial P01(n,x) is shifted to the interval [0,1]. The relationships are:

        P01(n,x) = P(n,(x+1)/2)
        P(n,x) = P01(n,2*x-1)


The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.


legendre_shifted_polynomial is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

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Source Code:

Last revised on 15 March 2016.