User:Tohline/Math/EQ PminusHalf01

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LSU Key.png

<math>~P_{-1 / 2}(z)</math>

<math>~=</math>

<math>~ \frac{2}{\pi} \biggl[\frac{2}{z+1}\biggr]^{1 / 2} ~K\biggl( \sqrt{ \frac{z-1}{z+1}} \biggr) \, . </math>

Abramowitz & Stegun (1995), p. 334, eq. (8.13.1)