The associated Legendre Polynomials

Definition: \[ P_l^{(m)} (x) = \frac{(-1)^m}{2^l l!} (1-x^2)^{m/2} \frac{\textrm{d}^{l+m}}{\textrm{d}x^{l+m}} (x^2 - 1)^l \]

• Choose the argument for representation from the menu.
• Then you can choose l and m.
• Use button "Plot" to plot the choosen polynomial.
• The program optimizes the display range for the last plotted polynomial to give a good representation of it.
• One can replot a polynomial to rescale the display for it.
• "Clear Plot Area" will delete all plotted polynomials.