numpy.polynomial.legendre.leggrid2d(x, y, c)
Evaluate a 2-D Legendre series on the Cartesian product of x and y.
This function returns the values:
where the points
(a, b) consist of all pairs formed by taking
y. The resulting points form a grid with
x in the first dimension and
y in the second.
y are converted to arrays only if they are tuples or a lists, otherwise they are treated as a scalars. In either case, either
y or their elements must support multiplication and addition both with themselves and with the elements of
c has fewer than two dimensions, ones are implicitly appended to its shape to make it 2-D. The shape of the result will be c.shape[2:] + x.shape + y.shape.
x, y : array_like, compatible objects
The two dimensional series is evaluated at the points in the Cartesian product of
c : array_like
Array of coefficients ordered so that the coefficient of the term of multi-degree i,j is contained in
values : ndarray, compatible object
The values of the two dimensional Chebyshev series at points in the Cartesian product of
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