Evaluate a 3-D Legendre series at points (x, y, z).
This function returns the values:
System Message: WARNING/2 (p(x,y,z) = \sum_{i,j,k} c_{i,j,k} * L_i(x) * L_j(y) * L_k(z)
)
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Transcript written on math.log.
The parameters x, y, and z 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, y, and z or their elements must support multiplication and
addition both with themselves and with the elements of c.
If c has fewer than 3 dimensions, ones are implicitly appended to its
shape to make it 3-D. The shape of the result will be c.shape[3:] +
x.shape.
- Parameters
- x, y, zarray_like, compatible object
The three dimensional series is evaluated at the points
(x, y, z), where x, y, and z must have the same shape. If
any of x, y, or z 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.
- carray_like
Array of coefficients ordered so that the coefficient of the term of
multi-degree i,j,k is contained in c[i,j,k]. If c has dimension
greater than 3 the remaining indices enumerate multiple sets of
coefficients.
- Returns
- valuesndarray, compatible object
The values of the multidimensional polynomial on points formed with
triples of corresponding values from x, y, and z.
Notes
