def basis_sh_chebyshev_2(degree):
basis = [pm([1])]
for i in range(degree):
if i == 0:
basis.append(pm([-2,4]))
continue
basis.append(pm([-2, 4]) * basis[-1] - basis[-2])
return basis
def basis_chebyshev(degree):
basis = [pm([1])]
for i in range(degree):
if i == 0:
basis.append(pm([0, 1]))
continue
basis.append(pm([0, 2]) * basis[-1] - basis[-2])
return basis
def basis_laguerre(degree):
basis = [pm([1])]
for i in range(degree):
if i == 0:
basis.append(pm([1, -1]))
continue
basis.append(pm([2 * i + 1, -1]) * basis[-1] - i * i * basis[-2])
return basis
def basis_laguerre(degree):
basis = [pm([1])]
for i in range(degree):
if i == 0:
basis.append(pm([1, -1]))
continue
basis.append(pm([2*i + 1, -1])*basis[-1] - i * i * basis[-2])
return basis
def basis_sh_legendre(degree):
basis = [pm([1])]
for i in range(degree):
if i == 0:
basis.append(pm([-1, 2]))
continue
basis.append((pm([-2*i - 1, 4*i + 2])*basis[-1] - i * basis[-2]) / (i + 1))
return basis
def basis_sh_legendre(degree):
basis = [pm([1])]
for i in range(degree):
if i == 0:
basis.append(pm([-1, 2]))
continue
basis.append(
(pm([-2 * i - 1, 4 * i + 2]) * basis[-1] - i * basis[-2]) /
(i + 1))
return basis
def basis_sh_chebyshev(degree):
basis = [pm([-1, 2]), pm([1])]
for i in range(degree):
basis.append(pm([-2, 4]) * basis[-1] - basis[-2])
del basis[0]
return basis
def basis_hermite(degree):
basis = [pm([0]), pm([1])]
for i in range(degree):
basis.append(pm([0, 2]) * basis[-1] - 2 * i * basis[-2])
del basis[0]
return basis
def basis_chebyshev_2(degree):
basis = [pm([0.5]), pm([0, 2])]
for i in range(degree):
basis.append(pm([0, 2]) * basis[-1] - basis[-2])
return basis
def basis_sh_chebyshev(degree):
basis = [pm([-1, 2]), pm([1])]
for i in range(degree):
basis.append(pm([-2, 4])*basis[-1] - basis[-2])
del basis[0]
return basis
def basis_hermite(degree):
basis = [pm([0]), pm([1])]
for i in range(degree):
basis.append(pm([0,2])*basis[-1] - 2 * i * basis[-2])
del basis[0]
return basis
