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Legendre Differential Equation
Legendre differential equation
(1 - z^2) w''(z) - 2 z w'(z) + n (n + 1) w(z) = 0 for w(z) = c_1 P_n(z) + c_2 Q_n(z)
(1 - z^2) w''(z) - 2 z w'(z) + n (n + 1) w(z) = 0 for w(z) = c_1 P_n(z) + c_2 Q_n(z)