Derivative of Legendre chi 2
From specialfunctionswiki
Revision as of 01:32, 21 March 2015 by Tom (talk | contribs) (Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Proposition:</strong> The following formula holds: $$\dfrac{d}{dx} \chi_2(x) = \dfr...")
Proposition: The following formula holds: $$\dfrac{d}{dx} \chi_2(x) = \dfrac{\mathrm{arctanh}(x)}{x},$$ where $\chi$ denotes the Legendre chi function and $\mathrm{arctanh}$ denotes the inverse hyperbolic tangent function.
Proof: █
