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Definition:monicctsqLaguerre - Revision history
2024-03-28T11:45:35Z
Revision history for this page on the wiki
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https://drmf-beta.wmflabs.org/index.php?title=Definition:monicctsqLaguerre&diff=5836&oldid=prev
Move page script: Move page script moved page Definition:monicctsqLaguerre to D:monicctsqLaguerre
2019-12-22T06:49:17Z
<p>Move page script moved page <a href="/wiki/Definition:monicctsqLaguerre" title="Definition:monicctsqLaguerre">Definition:monicctsqLaguerre</a> to <a href="https://www.wikidata.org/wiki/monicctsqLaguerre" class="extiw" title="d:monicctsqLaguerre">D:monicctsqLaguerre</a></p>
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imported>SeedBot
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imported>SeedBot: DRMF
2017-03-05T22:32:55Z
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imported>SeedBot
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imported>SeedBot: DRMF
2017-03-05T22:32:19Z
<p>DRMF</p>
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imported>SeedBot
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imported>SeedBot: DRMF
2017-03-05T22:27:55Z
<p>DRMF</p>
<p><b>New page</b></p><div><div id="drmf_head"><br />
<div id="alignleft"> << [[Definition:monicctsqJacobi|Definition:monicctsqJacobi]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:monicctsqLegendre|Definition:monicctsqLegendre]] >> </div><br />
</div><br />
<br />
The LaTeX DLMF and DRMF macro '''\monicctsqLaguerre''' represents the monic continuous <math>q</math> Laguerre polynomial.<br />
<br />
This macro is in the category of polynomials.<br />
<br />
In math mode, this macro can be called in the following ways:<br />
<br />
:'''\monicctsqLaguerre{n}''' produces <math>{\displaystyle \monicctsqLaguerre{n}}</math><br /><br />
:'''\monicctsqLaguerre{n}@{x}{q}''' produces <math>{\displaystyle \monicctsqLaguerre{n}@{x}{q}}</math><br /><br />
:'''\monicctsqLaguerre{n}@@{x}{q}''' produces <math>{\displaystyle \monicctsqLaguerre{n}@@{x}{q}}</math><br /><br />
<br />
These are defined by<br />
<math><br />
{\displaystyle<br />
\ctsqLaguerre{\alpha}{n}@{x}{q}=:\frac{2^nq^{(\frac{1}{2}\alpha+\frac{1}{4})n}}{\qPochhammer{q}{q}{n}}\monicctsqLaguerre{\alpha}{n}@@{x}{q}.<br />
}</math><br />
<br /><br />
<br />
== Symbols List ==<br />
<br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:monicctsqLaguerre <math>{\displaystyle {\widehat P}^{(\alpha)}_{n}}</math>]</span> : monic continuous <math>{\displaystyle q}</math>-Laguerre polynomial : [http://drmf.wmflabs.org/wiki/Definition:monicctsqLaguerre http://drmf.wmflabs.org/wiki/Definition:monicctsqLaguerre]<br /><br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:ctsqLaguerre <math>{\displaystyle P^{(n)}_{\alpha}}</math>]</span> : continuous <math>{\displaystyle q}</math>-Laguerre polynomial : [http://drmf.wmflabs.org/wiki/Definition:ctsqLaguerre http://drmf.wmflabs.org/wiki/Definition:ctsqLaguerre]<br /><br />
<span class="plainlinks">[http://dlmf.nist.gov/5.18#i <math>{\displaystyle (a;q)_n}</math>]</span> : <math>{\displaystyle q}</math>-Pochhammer symbol : [http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/5.18#i] [http://dlmf.nist.gov/17.2#SS1.p1 http://dlmf.nist.gov/17.2#SS1.p1]<br />
<br /><div id="drmf_foot"><br />
<div id="alignleft"> << [[Definition:monicctsqJacobi|Definition:monicctsqJacobi]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:monicctsqLegendre|Definition:monicctsqLegendre]] >> </div><br />
</div></div>
imported>SeedBot