16.23: 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/16.23.E1 16.23.E1] | | | [https://dlmf.nist.gov/16.23.E1 16.23.E1] || <math qid="Q5289">\genhyperF{3}{2}@@{-n,n+\alpha+2,\frac{1}{2}(\alpha+1)}{\alpha+1,\frac{1}{2}(\alpha+3)}{x} > 0</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\genhyperF{3}{2}@@{-n,n+\alpha+2,\frac{1}{2}(\alpha+1)}{\alpha+1,\frac{1}{2}(\alpha+3)}{x} > 0</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>hypergeom([- n , n + alpha + 2 ,(1)/(2)*(alpha + 1)], [alpha + 1 ,(1)/(2)*(alpha + 3)], x) > 0</syntaxhighlight> || <syntaxhighlight lang=mathematica>HypergeometricPFQ[{- n , n + \[Alpha]+ 2 ,Divide[1,2]*(\[Alpha]+ 1)}, {\[Alpha]+ 1 ,Divide[1,2]*(\[Alpha]+ 3)}, x] > 0</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [12 / 27]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: 0. < -.5000000000 | ||
Test Values: {alpha = 3/2, x = 3/2, n = 1}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: 0. < -1.482142857 | Test Values: {alpha = 3/2, x = 3/2, n = 1}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: 0. < -1.482142857 | ||
Test Values: {alpha = 3/2, x = 3/2, n = 3}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [12 / 27]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: False | Test Values: {alpha = 3/2, x = 3/2, n = 3}</syntaxhighlight><br>... skip entries to safe data</div></div> || <div class="toccolours mw-collapsible mw-collapsed">Failed [12 / 27]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: False | ||
Latest revision as of 11:42, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 16.23.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperF{3}{2}@@{-n,n+\alpha+2,\frac{1}{2}(\alpha+1)}{\alpha+1,\frac{1}{2}(\alpha+3)}{x} > 0}
\genhyperF{3}{2}@@{-n,n+\alpha+2,\frac{1}{2}(\alpha+1)}{\alpha+1,\frac{1}{2}(\alpha+3)}{x} > 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | hypergeom([- n , n + alpha + 2 ,(1)/(2)*(alpha + 1)], [alpha + 1 ,(1)/(2)*(alpha + 3)], x) > 0
|
HypergeometricPFQ[{- n , n + \[Alpha]+ 2 ,Divide[1,2]*(\[Alpha]+ 1)}, {\[Alpha]+ 1 ,Divide[1,2]*(\[Alpha]+ 3)}, x] > 0
|
Failure | Failure | Failed [12 / 27] Result: 0. < -.5000000000
Test Values: {alpha = 3/2, x = 3/2, n = 1}
Result: 0. < -1.482142857
Test Values: {alpha = 3/2, x = 3/2, n = 3}
... skip entries to safe data |
Failed [12 / 27]
Result: False
Test Values: {Rule[n, 1], Rule[x, 1.5], Rule[α, 1.5]}
Result: False
Test Values: {Rule[n, 3], Rule[x, 1.5], Rule[α, 1.5]}
... skip entries to safe data |