10.29: Difference between revisions

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! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
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| [https://dlmf.nist.gov/10.29#Ex5 10.29#Ex5] || [[Item:Q3508|<math>\modBesselI{0}'@{z} = \modBesselI{1}@{z}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\modBesselI{0}'@{z} = \modBesselI{1}@{z}</syntaxhighlight> || <math>\realpart@@{(0+k+1)} > 0, \realpart@@{(1+k+1)} > 0</math> || <syntaxhighlight lang=mathematica>diff( BesselI(0, z), z$(1) ) = BesselI(1, z)</syntaxhighlight> || <syntaxhighlight lang=mathematica>D[BesselI[0, z], {z, 1}] == BesselI[1, z]</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 7]
| [https://dlmf.nist.gov/10.29#Ex5 10.29#Ex5] || <math qid="Q3508">\modBesselI{0}'@{z} = \modBesselI{1}@{z}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\modBesselI{0}'@{z} = \modBesselI{1}@{z}</syntaxhighlight> || <math>\realpart@@{(0+k+1)} > 0, \realpart@@{(1+k+1)} > 0</math> || <syntaxhighlight lang=mathematica>diff( BesselI(0, z), z$(1) ) = BesselI(1, z)</syntaxhighlight> || <syntaxhighlight lang=mathematica>D[BesselI[0, z], {z, 1}] == BesselI[1, z]</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 7]
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| [https://dlmf.nist.gov/10.29#Ex6 10.29#Ex6] || [[Item:Q3509|<math>\modBesselK{0}'@{z} = -\modBesselK{1}@{z}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\modBesselK{0}'@{z} = -\modBesselK{1}@{z}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>diff( BesselK(0, z), z$(1) ) = - BesselK(1, z)</syntaxhighlight> || <syntaxhighlight lang=mathematica>D[BesselK[0, z], {z, 1}] == - BesselK[1, z]</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 7]
| [https://dlmf.nist.gov/10.29#Ex6 10.29#Ex6] || <math qid="Q3509">\modBesselK{0}'@{z} = -\modBesselK{1}@{z}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\modBesselK{0}'@{z} = -\modBesselK{1}@{z}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>diff( BesselK(0, z), z$(1) ) = - BesselK(1, z)</syntaxhighlight> || <syntaxhighlight lang=mathematica>D[BesselK[0, z], {z, 1}] == - BesselK[1, z]</syntaxhighlight> || Successful || Successful || - || Successful [Tested: 7]
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Latest revision as of 11:25, 28 June 2021


DLMF Formula Constraints Maple Mathematica Symbolic
Maple
Symbolic
Mathematica
Numeric
Maple
Numeric
Mathematica
10.29#Ex5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselI{0}'@{z} = \modBesselI{1}@{z}}
\modBesselI{0}'@{z} = \modBesselI{1}@{z}
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(0+k+1)} > 0, \realpart@@{(1+k+1)} > 0}
diff( BesselI(0, z), z$(1) ) = BesselI(1, z)
D[BesselI[0, z], {z, 1}] == BesselI[1, z]
Successful Successful - Successful [Tested: 7]
10.29#Ex6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselK{0}'@{z} = -\modBesselK{1}@{z}}
\modBesselK{0}'@{z} = -\modBesselK{1}@{z}
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
diff( BesselK(0, z), z$(1) ) = - BesselK(1, z)
D[BesselK[0, z], {z, 1}] == - BesselK[1, z]
Successful Successful - Successful [Tested: 7]