31.3: 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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! 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/31.3.E1 31.3.E1] | | | [https://dlmf.nist.gov/31.3.E1 31.3.E1] || <math qid="Q9003">\HeunHl@{a}{q}{\alpha}{\beta}{\gamma}{\delta}{z} = \sum_{j=0}^{\infty}c_{j}z^{j}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>\HeunHl@{a}{q}{\alpha}{\beta}{\gamma}{\delta}{z} = \sum_{j=0}^{\infty}c_{j}z^{j}</syntaxhighlight> || <math>|z| < 1</math> || <syntaxhighlight lang=mathematica>HeunG(a, q, alpha, beta, gamma, delta, z) = sum(c[j]*(z)^(j), j = 0..infinity)</syntaxhighlight> || <syntaxhighlight lang=mathematica>Error</syntaxhighlight> || Failure || Missing Macro Error || Manual Skip! || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/31.3.E2 31.3.E2] | | | [https://dlmf.nist.gov/31.3.E2 31.3.E2] || <math qid="Q9004">a\gamma c_{1}-qc_{0} = 0</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>a\gamma c_{1}-qc_{0} = 0</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a*gamma*c[1]- q*c[0] = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">a*\[Gamma]*Subscript[c, 1]- q*Subscript[c, 0] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|- style="background: #dfe6e9;" | |- style="background: #dfe6e9;" | ||
| [https://dlmf.nist.gov/31.3.E3 31.3.E3] | | | [https://dlmf.nist.gov/31.3.E3 31.3.E3] || <math qid="Q9005">R_{j}c_{j+1}-(Q_{j}+q)c_{j}+P_{j}c_{j-1} = 0</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>R_{j}c_{j+1}-(Q_{j}+q)c_{j}+P_{j}c_{j-1} = 0</syntaxhighlight> || <math>j \geq 1</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(a*(j + 1)*(j + gamma))*c[j + 1]-(Q[j]+ q)*c[j]+ P[j]*c[j - 1] = 0</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(a*(j + 1)*(j + \[Gamma]))*Subscript[c, j + 1]-(Subscript[Q, j]+ q)*Subscript[c, j]+ Subscript[P, j]*Subscript[c, j - 1] == 0</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || - | ||
|} | |} | ||
</div> | </div> | ||
Latest revision as of 12:11, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 31.3.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HeunHl@{a}{q}{\alpha}{\beta}{\gamma}{\delta}{z} = \sum_{j=0}^{\infty}c_{j}z^{j}}
\HeunHl@{a}{q}{\alpha}{\beta}{\gamma}{\delta}{z} = \sum_{j=0}^{\infty}c_{j}z^{j} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z| < 1} | HeunG(a, q, alpha, beta, gamma, delta, z) = sum(c[j]*(z)^(j), j = 0..infinity)
|
Error
|
Failure | Missing Macro Error | Manual Skip! | - |
| 31.3.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a\gamma c_{1}-qc_{0} = 0}
a\gamma c_{1}-qc_{0} = 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | a*gamma*c[1]- q*c[0] = 0 |
a*\[Gamma]*Subscript[c, 1]- q*Subscript[c, 0] == 0 |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 31.3.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle R_{j}c_{j+1}-(Q_{j}+q)c_{j}+P_{j}c_{j-1} = 0}
R_{j}c_{j+1}-(Q_{j}+q)c_{j}+P_{j}c_{j-1} = 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j \geq 1} | (a*(j + 1)*(j + gamma))*c[j + 1]-(Q[j]+ q)*c[j]+ P[j]*c[j - 1] = 0 |
(a*(j + 1)*(j + \[Gamma]))*Subscript[c, j + 1]-(Subscript[Q, j]+ q)*Subscript[c, j]+ Subscript[P, j]*Subscript[c, j - 1] == 0 |
Skipped - no semantic math | Skipped - no semantic math | - | - |