File:Mplwp legendreP04a0.svg

#!/usr/bin/python
# -*- coding: utf8 -*-

import matplotlib.pyplot as plt
import matplotlib as mpl
import numpy as np
from math import *

code_website = 'http://commons.wikimedia.org/wiki/User:Geek3/mplwp'
try:
    import mplwp
except ImportError, er:
    print 'ImportError:', er
    print 'You need to download mplwp.py from', code_website
    exit(1)

name = 'mplwp_legendreP04a0.svg'
fig = mplwp.fig_standard(mpl)

xlim = -1,1; fig.gca().set_xlim(xlim)
ylim = -1.25,1.25; fig.gca().set_ylim(ylim)
mplwp.mark_axeszero(fig.gca())
mplwp.move_axes(fig, 10, 0)

from scipy.special import lpmv

m = 0
for l in range(m, 4+1):
    x = np.linspace(xlim[0], xlim[1], 5001)
    y = [lpmv(m, l, xx) for xx in x]
    plt.plot(x, y, zorder=-l, label='P'
        + mplwp.unicode_sub(l) + mplwp.unicode_super('(' + str(m) + ')'))

plt.legend(loc='lower center', ncol=3, borderaxespad=0.5)

plt.savefig(name)
mplwp.postprocess(name)