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# numpy.polynomial.legendre.leggrid2d

`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 a from x and b from y. The resulting points form a grid with x in the first dimension and y in the second.

  The parameters x and y are converted to arrays only if they are tuples or a lists, otherwise they are treated as a scalars. 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 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.

  Parameters : | x, y : array_like, compatible objects The two dimensional series is evaluated at the points in the Cartesian product of x and y. 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 Chebyshev series at points in the Cartesian product of x and y.

  See also

  `legval`, `legval2d`, `legval3d`, `leggrid3d`

  Notes

### Navigation

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- NumPy v1.7 Manual (DRAFT) »
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