legendre_shifted_polynomial

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)
      

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

legendre_shifted_polynomial is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

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Source Code:

• legendre_shifted_polynomial.py, the source code.
• legendre_shifted_polynomial.sh, runs all the tests.
• legendre_shifted_polynomial.txt, the output file.