documentation/html/legendre_8py_source.html

 from math import sqrt


 def legendre00(x):
     return 1


 def legendre01(x):
     return sqrt(3.0) * (2 * x - 1)


 def legendre02(x):
     return sqrt(5.0) * (6 * x * x - 6 * x + 1)


 def legendre03(x):
     return sqrt(7.0) * (20 * x * x * x - 30 * x * x + 12 * x - 1)


 def legendre04(x):
     i = 4
     t1 = sqrt(4 * i * i - 1) / i
     t2 = (i-1)*sqrt(2*i+1)/(i*sqrt(2*i-3))
     return t1 * (2*x-1) * legendre03(x) - t2 * legendre02(x)


 def legendre05(x):
     i = 5
     t1 = sqrt(4 * i * i - 1) / i
     t2 = (i-1)*sqrt(2*i+1)/(i*sqrt(2*i-3))
     return t1 * (2*x-1) * legendre04(x) - t2 * legendre03(x)


 def legendre06(x):
     i = 6
     t1 = sqrt(4 * i * i - 1) / i
     t2 = (i-1)*sqrt(2*i+1)/(i*sqrt(2*i-3))
     return t1 * (2*x-1) * legendre05(x) - t2 * legendre04(x)


 def legendre07(x):
     i = 7
     t1 = sqrt(4 * i * i - 1) / i
     t2 = (i-1)*sqrt(2*i+1)/(i*sqrt(2*i-3))
     return t1 * (2*x-1) * legendre06(x) - t2 * legendre05(x)

legendre.legendre04
def legendre04(x)
Implements the transformed Legendre polynomials of degree 4.
Definition: legendre.py:37

legendre.legendre00
def legendre00(x)
Implements the transformed Legendre polynomials of degree 0 .
Definition: legendre.py:9

legendre.legendre06
def legendre06(x)
Implements the transformed Legendre polynomials of degree 6.
Definition: legendre.py:57

legendre.legendre01
def legendre01(x)
Implements the transformed Legendre polynomials of degree 1 .
Definition: legendre.py:16

legendre.legendre02
def legendre02(x)
Implements the transformed Legendre polynomials of degree 2 .
Definition: legendre.py:23

legendre.legendre05
def legendre05(x)
Implements the transformed Legendre polynomials of degree 5.
Definition: legendre.py:47

legendre.legendre03
def legendre03(x)
Implements the transformed Legendre polynomials of degree 3 .
Definition: legendre.py:30

legendre.legendre07
def legendre07(x)
Implements the transformed Legendre polynomials of degree 7.
Definition: legendre.py:67