diff options
Diffstat (limited to 'numpy/polynomial/legendre.py')
| -rw-r--r-- | numpy/polynomial/legendre.py | 27 |
1 files changed, 19 insertions, 8 deletions
diff --git a/numpy/polynomial/legendre.py b/numpy/polynomial/legendre.py index 0d4a49afc..e9c24594b 100644 --- a/numpy/polynomial/legendre.py +++ b/numpy/polynomial/legendre.py @@ -27,12 +27,12 @@ Arithmetic .. autosummary:: :toctree: generated/ - legmulx multiply a Legendre series in P_i(x) by x. legadd add two Legendre series. legsub subtract one Legendre series from another. + legmulx multiply a Legendre series in ``P_i(x)`` by ``x``. legmul multiply two Legendre series. legdiv divide one Legendre series by another. - legpow raise a Legendre series to an positive integer power + legpow raise a Legendre series to a positive integer power. legval evaluate a Legendre series at given points. legval2d evaluate a 2D Legendre series at given points. legval3d evaluate a 3D Legendre series at given points. @@ -351,7 +351,7 @@ def legadd(c1, c2): See Also -------- - legsub, legmul, legdiv, legpow + legsub, legmulx, legmul, legdiv, legpow Notes ----- @@ -401,7 +401,7 @@ def legsub(c1, c2): See Also -------- - legadd, legmul, legdiv, legpow + legadd, legmulx, legmul, legdiv, legpow Notes ----- @@ -451,6 +451,10 @@ def legmulx(c): out : ndarray Array representing the result of the multiplication. + See Also + -------- + legadd, legmul, legmul, legdiv, legpow + Notes ----- The multiplication uses the recursion relationship for Legendre @@ -460,6 +464,12 @@ def legmulx(c): xP_i(x) = ((i + 1)*P_{i + 1}(x) + i*P_{i - 1}(x))/(2i + 1) + Examples + -------- + >>> from numpy.polynomial import legendre as L + >>> L.legmulx([1,2,3]) + array([ 0.66666667, 2.2, 1.33333333, 1.8]) + """ # c is a trimmed copy [c] = pu.as_series([c]) @@ -500,7 +510,7 @@ def legmul(c1, c2): See Also -------- - legadd, legsub, legdiv, legpow + legadd, legsub, legmulx, legdiv, legpow Notes ----- @@ -570,7 +580,7 @@ def legdiv(c1, c2): See Also -------- - legadd, legsub, legmul, legpow + legadd, legsub, legmulx, legmul, legpow Notes ----- @@ -640,7 +650,7 @@ def legpow(c, pow, maxpower=16): See Also -------- - legadd, legsub, legmul, legdiv + legadd, legsub, legmulx, legmul, legdiv Examples -------- @@ -1509,7 +1519,7 @@ def legfit(x, y, deg, rcond=None, full=False, w=None): References ---------- .. [1] Wikipedia, "Curve fitting", - http://en.wikipedia.org/wiki/Curve_fitting + https://en.wikipedia.org/wiki/Curve_fitting Examples -------- @@ -1831,3 +1841,4 @@ class Legendre(ABCPolyBase): nickname = 'leg' domain = np.array(legdomain) window = np.array(legdomain) + basis_name = 'P' |