lobatto_polynomial, a C++ code which evaluates the completed Lobatto polynomial and associated functions.
The completed Lobatto polynomial Lo(n,x) can be defined by:
Lo(n,x) = n * ( P(n-1,x) - x * P(n,x) )
where n is a positive integer called the order, x is a real value
between -1 and +1, and P(n,x) is the Legendre polynomial.
The completed Lobatto polynomial Lo(n,x) has degree n+1, and is zero at x = -1 and x = +1.
GNUPLOT is used to create images of some of the functions.
The computer code and data files described and made available on this web page are distributed under the MIT license
lobatto_polynomial is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
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