Difference between revisions of "User:Tohline/Math/EQ QminusHalf01"

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<math>~Q_{-1 / 2}(z)</math>
<math>~Q_{-\frac{1}{2}}(z)</math>
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<math>~Q_{-1 / 2}(\cosh\eta)</math>
<math>~Q_{-\frac{1}{2}}(\cosh\eta)</math>
   </td>
   </td>
   <td align="center">
   <td align="center">

Revision as of 18:49, 14 June 2018

LSU Key.png

<math>~Q_{-\frac{1}{2}}(z)</math>

<math>~=</math>

<math>~ \sqrt{ \frac{2}{z+1} } ~K\biggl( \sqrt{ \frac{2}{z+1}} \biggr) </math>

      for example …

<math>~Q_{-\frac{1}{2}}(\cosh\eta)</math>

<math>~=</math>

<math>~ 2 e^{-\eta/2} K(e^{-\eta}) </math>

Abramowitz & Stegun (1995), p. 337, eq. (8.13.3)

Abramowitz & Stegun (1995), p. 337, eq. (8.13.4)