human
I wrote the below code

    j = sympify(j)
    p = sympify(p)
    l = sympify(l)
    m = sympify(m)
    theta = sympify(theta)
    phi = sympify(phi)
    k = Dummy('k')
    def alpha(l, m, j, p, k):
        return ((sqrt((((((2 * l) + 1) * ((2 * j) + 1)) * ((2 * k) + 1)) / (4 * pi))) * Wigner3j(j, l, k, S(0), S(0), S(0))) * Wigner3j(j, l, k, p, m, ((- m) - p)))
    return (((- S(1)) ** (m + p)) * Sum((((Ynm(k, (m + p), theta, phi) * alpha(l, m, j, p, k)) / 2) * ((((((k ** 2) - (j ** 2)) - (l ** 2)) + k) - j) - l)), (k, abs((l - j)), (l + j))))

What's a good function header?
assistant
#Here's a good function header.

def dot_rot_grad_Ynm(j, p, l, m, theta, phi):