Associated Legendre functions

The associated Legendre functions Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P^m_n(x)} are most conveniently defined in terms of derivatives of the Legendre polynomials:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P^m_n(x)= (1-x^2)^{m/2} \frac{d^m}{dx^m} P_n(x) }