LEGENDRE_SHIFTED_POLYNOMIAL is a MATLAB library 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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