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Definition:CiglerqChebyU - Revision history
2024-03-29T13:56:49Z
Revision history for this page on the wiki
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Move page script: Move page script moved page Definition:CiglerqChebyU to D:CiglerqChebyU
2019-12-22T06:48:39Z
<p>Move page script moved page <a href="/wiki/Definition:CiglerqChebyU" title="Definition:CiglerqChebyU">Definition:CiglerqChebyU</a> to <a href="https://www.wikidata.org/wiki/CiglerqChebyU" class="extiw" title="d:CiglerqChebyU">D:CiglerqChebyU</a></p>
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imported>SeedBot: DRMF
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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
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imported>SeedBot
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imported>SeedBot: DRMF
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<p>DRMF</p>
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imported>SeedBot
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imported>SeedBot: DRMF
2017-03-05T22:25:31Z
<p>DRMF</p>
<p><b>New page</b></p><div><div id="drmf_head"><br />
<div id="alignleft"> << [[Definition:CiglerqChebyT|Definition:CiglerqChebyT]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:ctsbigqHermite|Definition:ctsbigqHermite]] >> </div><br />
</div><br />
<br />
The LaTeX DLMF and DRMF macro '''\CiglerqChebyU''' represents the Cigler <math>q</math>-Chebyshev polynomial of the second kind.<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 />
:'''\CiglerqChebyU{n}''' produces <math>{\displaystyle \CiglerqChebyU{n}}</math><br /><br />
:'''\CiglerqChebyU{n}@{x}{s}{q}''' produces <math>{\displaystyle \CiglerqChebyU{n}@{x}{s}{q}}</math><br /><br />
<br />
These are defined by<br />
<math><br />
{\displaystyle<br />
\CiglerqChebyU{n}@{x}{s}{q}:=(-q^{-2}s)^{\frac12 n} \frac{1-q^{n+1}}{1-q}.<br />
}</math><br />
<br /><br />
<br />
== Symbols List ==<br />
<br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:CiglerqChebyU <math>{\displaystyle U_{n}}</math>]</span> : Cigler <math>{\displaystyle q}</math>-Chebyshev polynomial <math>{\displaystyle U}</math> : [http://drmf.wmflabs.org/wiki/Definition:CiglerqChebyU http://drmf.wmflabs.org/wiki/Definition:CiglerqChebyU]<br />
<br /><div id="drmf_foot"><br />
<div id="alignleft"> << [[Definition:CiglerqChebyT|Definition:CiglerqChebyT]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:ctsbigqHermite|Definition:ctsbigqHermite]] >> </div><br />
</div></div>
imported>SeedBot