33.7: Difference between revisions
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Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
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| [https://dlmf.nist.gov/33.7.E1 33.7.E1] | | | [https://dlmf.nist.gov/33.7.E1 33.7.E1] || <math qid="Q9538">\regCoulombF{\ell}@{\eta}{\rho} = \frac{\rho^{\ell+1}2^{\ell}e^{\iunit\rho-(\pi\eta/2)}}{|\EulerGamma@{\ell+1+\iunit\eta}|}\int_{0}^{1}e^{-2\iunit\rho t}t^{\ell+\iunit\eta}(1-t)^{\ell-\iunit\eta}\diff{t}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\regCoulombF{\ell}@{\eta}{\rho} = \frac{\rho^{\ell+1}2^{\ell}e^{\iunit\rho-(\pi\eta/2)}}{|\EulerGamma@{\ell+1+\iunit\eta}|}\int_{0}^{1}e^{-2\iunit\rho t}t^{\ell+\iunit\eta}(1-t)^{\ell-\iunit\eta}\diff{t}</syntaxhighlight> || <math>\realpart@@{(\ell+1+\iunit\eta)} > 0</math> || <syntaxhighlight lang=mathematica>CoulombF(ell, eta, rho) = ((rho)^(ell + 1)* (2)^(ell)* exp(I*rho -(Pi*eta/2)))/(abs(GAMMA(ell + 1 + I*eta)))*int(exp(- 2*I*rho*t)*(t)^(ell + I*eta)*(1 - t)^(ell - I*eta), t = 0..1)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Failure || Missing Macro Error || Error || - | ||
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Latest revision as of 13:14, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 33.7.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \regCoulombF{\ell}@{\eta}{\rho} = \frac{\rho^{\ell+1}2^{\ell}e^{\iunit\rho-(\pi\eta/2)}}{|\EulerGamma@{\ell+1+\iunit\eta}|}\int_{0}^{1}e^{-2\iunit\rho t}t^{\ell+\iunit\eta}(1-t)^{\ell-\iunit\eta}\diff{t}}
\regCoulombF{\ell}@{\eta}{\rho} = \frac{\rho^{\ell+1}2^{\ell}e^{\iunit\rho-(\pi\eta/2)}}{|\EulerGamma@{\ell+1+\iunit\eta}|}\int_{0}^{1}e^{-2\iunit\rho t}t^{\ell+\iunit\eta}(1-t)^{\ell-\iunit\eta}\diff{t} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(\ell+1+\iunit\eta)} > 0} | CoulombF(ell, eta, rho) = ((rho)^(ell + 1)* (2)^(ell)* exp(I*rho -(Pi*eta/2)))/(abs(GAMMA(ell + 1 + I*eta)))*int(exp(- 2*I*rho*t)*(t)^(ell + I*eta)*(1 - t)^(ell - I*eta), t = 0..1)
|
Error
|
Failure | Missing Macro Error | Error | - |