Difference between revisions of "User:Tohline/Math/EQ QminusHalf01"
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[[Image:LSU_Key.png|25px|link=http://www.vistrails.org/index.php/User:Tohline/Appendix/Equation_templates# | [[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 | <math>~Q_{-\frac{1}{2}}(z)</math> | ||
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<math>~Q_{-1 | <math>~Q_{-\frac{1}{2}}(\cosh\eta)</math> | ||
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[https://books.google.com/books?id=MtU8uP7XMvoC&printsec=frontcover&dq=Abramowitz+and+stegun&hl=en&sa=X&ved=0ahUKEwialra5xNbaAhWKna0KHcLAASAQ6AEILDAA#v=onepage&q=Abramowitz%20and%20stegun&f=false Abramowitz & Stegun (1995)], p. | [https://books.google.com/books?id=MtU8uP7XMvoC&printsec=frontcover&dq=Abramowitz+and+stegun&hl=en&sa=X&ved=0ahUKEwialra5xNbaAhWKna0KHcLAASAQ6AEILDAA#v=onepage&q=Abramowitz%20and%20stegun&f=false Abramowitz & Stegun (1995)], p. 337, eq. (8.13.3) | ||
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[https://books.google.com/books?id=MtU8uP7XMvoC&printsec=frontcover&dq=Abramowitz+and+stegun&hl=en&sa=X&ved=0ahUKEwialra5xNbaAhWKna0KHcLAASAQ6AEILDAA#v=onepage&q=Abramowitz%20and%20stegun&f=false Abramowitz & Stegun (1995)], p. | [https://books.google.com/books?id=MtU8uP7XMvoC&printsec=frontcover&dq=Abramowitz+and+stegun&hl=en&sa=X&ved=0ahUKEwialra5xNbaAhWKna0KHcLAASAQ6AEILDAA#v=onepage&q=Abramowitz%20and%20stegun&f=false Abramowitz & Stegun (1995)], p. 337, eq. (8.13.4) | ||
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Latest revision as of 21:41, 1 July 2018
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<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> |
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Abramowitz & Stegun (1995), p. 337, eq. (8.13.3) |
Abramowitz & Stegun (1995), p. 337, eq. (8.13.4) |
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