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Definition:moniclittleqLaguerre - Revision history
2024-03-29T11:08:49Z
Revision history for this page on the wiki
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Move page script: Move page script moved page Definition:moniclittleqLaguerre to D:moniclittleqLaguerre
2019-12-22T06:49:34Z
<p>Move page script moved page <a href="/wiki/Definition:moniclittleqLaguerre" title="Definition:moniclittleqLaguerre">Definition:moniclittleqLaguerre</a> to <a href="https://www.wikidata.org/wiki/moniclittleqLaguerre" class="extiw" title="d:moniclittleqLaguerre">D:moniclittleqLaguerre</a></p>
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imported>SeedBot
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imported>SeedBot: DRMF
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imported>SeedBot
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imported>SeedBot: DRMF
2017-03-05T22:28:43Z
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<p><b>New page</b></p><div><div id="drmf_head"><br />
<div id="alignleft"> << [[Definition:moniclittleqJacobi|Definition:moniclittleqJacobi]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:moniclittleqLegendre|Definition:moniclittleqLegendre]] >> </div><br />
</div><br />
<br />
The LaTeX DLMF and DRMF macro '''\moniclittleqLaguerre''' represents the monic little <math>q</math> Laguerre Wall 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 />
:'''\moniclittleqLaguerre{n}''' produces <math>{\displaystyle \moniclittleqLaguerre{n}}</math><br /><br />
:'''\moniclittleqLaguerre{n}@{x}{a}{q}''' produces <math>{\displaystyle \moniclittleqLaguerre{n}@{x}{a}{q}}</math><br /><br />
:'''\moniclittleqLaguerre{n}@@{x}{a}{q}''' produces <math>{\displaystyle \moniclittleqLaguerre{n}@@{x}{a}{q}}</math><br /><br />
<br />
These are defined by<br />
<br /><br />
<math><br />
\littleqLaguerre{n}@{x}{a}{q}=:\frac{(-1)^nq^{-\binomial{n}{2}}}{\qPochhammer{aq}{q}{n}}\moniclittleqLaguerre{n}@@{x}{a}{q}.<br />
</math><br />
<br />
== Symbols List ==<br />
<br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:moniclittleqLaguerre <math>{\displaystyle {\widehat p}_{n}}</math>]</span> : monic little <math>{\displaystyle q}</math>-Laguerre/Wall polynomial : [http://drmf.wmflabs.org/wiki/Definition:moniclittleqLaguerre http://drmf.wmflabs.org/wiki/Definition:moniclittleqLaguerre]<br /><br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:littleqLaguerre <math>{\displaystyle p_{n}}</math>]</span> : little <math>{\displaystyle q}</math>-Laguerre / Wall polynomial : [http://drmf.wmflabs.org/wiki/Definition:littleqLaguerre http://drmf.wmflabs.org/wiki/Definition:littleqLaguerre]<br /><br />
<span class="plainlinks">[http://dlmf.nist.gov/1.2#E1 <math>{\displaystyle \binom{n}{k}}</math>]</span> : binomial coefficient : [http://dlmf.nist.gov/1.2#E1 http://dlmf.nist.gov/1.2#E1] [http://dlmf.nist.gov/26.3#SS1.p1 http://dlmf.nist.gov/26.3#SS1.p1]<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:moniclittleqJacobi|Definition:moniclittleqJacobi]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:moniclittleqLegendre|Definition:moniclittleqLegendre]] >> </div><br />
</div></div>
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