`numpy.polynomial.legendre:legval2d`

source: /numpy/polynomial/legendre.py :911

Signature

def legval2d ( x , y , c )

Summary

Evaluate a 2-D Legendre series at points (x, y).

Extended Summary

This function returns the values:

p (x, y) = i, j \sum c_{i, j} * L_{i} (x) * L_{j} (y)

The parameters x and y are converted to arrays only if they are tuples or a lists, otherwise they are treated as a scalars and they must have the same shape after conversion. In either case, either x and y or their elements must support multiplication and addition both with themselves and with the elements of c.

If c is a 1-D array a one is implicitly appended to its shape to make it 2-D. The shape of the result will be c.shape[2:] + x.shape.

Parameters

x, y : array_like, compatible objects: The two dimensional series is evaluated at the points (x, y), where x and y must have the same shape. If x or y is a list or tuple, it is first converted to an ndarray, otherwise it is left unchanged and if it isn't an ndarray it is treated as a scalar.
c : array_like: Array of coefficients ordered so that the coefficient of the term of multi-degree i,j is contained in c[i,j]. If c has dimension greater than two the remaining indices enumerate multiple sets of coefficients.

Returns

values : ndarray, compatible object: The values of the two dimensional Legendre series at points formed from pairs of corresponding values from x and y.

Aliases

numpy.polynomial.legendre.legval2d