Difference between revisions of "User:Tohline/Math/EQ QplusHalf01"

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[[Image:LSU_Key.png|25px|link=http://www.vistrails.org/index.php/User:Tohline/Appendix/Equation_templates#Special_Function_Relationships]]
[[Image:LSU_Key.png|25px|link=http://www.vistrails.org/index.php/User:Tohline/Appendix/Equation_templates#Toroidal_Function_Evaluations]]
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<math>~Q_{+1 / 2}(z)</math>
<math>~Q_{+\frac{1}{2}}(z)</math>
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Latest revision as of 21:42, 1 July 2018

LSU Key.png

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

<math>~=</math>

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

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