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Definition:discrqHermiteII - Revision history
2024-03-28T12:45:39Z
Revision history for this page on the wiki
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2019-12-22T06:50:33Z
<p>Move page script moved page <a href="/wiki/Definition:discrqHermiteII" title="Definition:discrqHermiteII">Definition:discrqHermiteII</a> to <a href="https://www.wikidata.org/wiki/discrqHermiteII" class="extiw" title="d:discrqHermiteII">D:discrqHermiteII</a></p>
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imported>SeedBot: DRMF
2017-03-05T22:33:13Z
<p>DRMF</p>
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imported>SeedBot
https://drmf-beta.wmflabs.org/index.php?title=Definition:discrqHermiteII&diff=485&oldid=prev
imported>SeedBot: DRMF
2017-03-05T22:32:22Z
<p>DRMF</p>
<p><b>New page</b></p><div><div id="drmf_head"><br />
<div id="alignleft"> << [[Definition:discrqHermiteI|Definition:discrqHermiteI]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:StieltjesConstants|Definition:StieltjesConstants]] >> </div><br />
</div><br />
<br />
The LaTeX DLMF and DRMF macro '''\discrqHermiteII''' represents the second discrete <math>q</math> Hermite 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 />
:'''\discrqHermiteII{n}''' produces <math>{\displaystyle \discrqHermiteII{n}}</math><br /><br />
:'''\discrqHermiteII{n}@{x}{q}''' produces <math>{\displaystyle \discrqHermiteII{n}@{x}{q}}</math><br /><br />
:'''\discrqHermiteII{n}@@{x}{q}''' produces <math>{\displaystyle \discrqHermiteII{n}@@{x}{q}}</math><br /><br />
<br />
These are defined by<br />
<math>{\displaystyle<br />
\discrqHermiteII{n}@{x}{q}:=i^{-n}\AlSalamCarlitzII{-1}{n}@{ix}{q}<br />
}</math><br />
<br />
== Symbols List ==<br />
<br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:discrqHermiteII <math>{\displaystyle \tilde{h}_{n}}</math>]</span> : discrete <math>{\displaystyle q}</math>-Hermite II polynomial : [http://drmf.wmflabs.org/wiki/Definition:discrqHermiteII http://drmf.wmflabs.org/wiki/Definition:discrqHermiteII]<br /><br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:AlSalamCarlitzII <math>{\displaystyle V^{(n)}_{\alpha}}</math>]</span> : Al-Salam-Carlitz II polynomial : [http://drmf.wmflabs.org/wiki/Definition:AlSalamCarlitzII http://drmf.wmflabs.org/wiki/Definition:AlSalamCarlitzII]<br />
<br /><div id="drmf_foot"><br />
<div id="alignleft"> << [[Definition:discrqHermiteI|Definition:discrqHermiteI]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:StieltjesConstants|Definition:StieltjesConstants]] >> </div><br />
</div></div>
imported>SeedBot