User:Tohline/Math/EQ Q2minusHalf01

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LSU Key.png

<math>~Q^2_{-\frac{1}{2}}(z)</math>

<math>~=</math>

<math>~ \frac{ 4 z E(k) - (z-1) K(k) }{ [2^{3} (z+1) (z-1)^{2} ]^{1 / 2}} </math>

where:   <math>~k \equiv \sqrt{ \frac{2}{z+1}} \, .</math>

Abramowitz & Stegun (1995), p. 337, eq. (8.13.7)