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Definition:CiglerqChebyT - Revision history
2024-03-28T14:34:01Z
Revision history for this page on the wiki
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Move page script: Move page script moved page Definition:CiglerqChebyT to D:CiglerqChebyT
2019-12-22T06:48:38Z
<p>Move page script moved page <a href="/wiki/Definition:CiglerqChebyT" title="Definition:CiglerqChebyT">Definition:CiglerqChebyT</a> to <a href="https://www.wikidata.org/wiki/CiglerqChebyT" class="extiw" title="d:CiglerqChebyT">D:CiglerqChebyT</a></p>
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imported>SeedBot: DRMF
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imported>SeedBot
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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
2017-03-05T22:25:27Z
<p>DRMF</p>
<p><b>New page</b></p><div><div id="drmf_head"><br />
<div id="alignleft"> << [[Definition:bigqLegendre|Definition:bigqLegendre]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:CiglerqChebyU|Definition:CiglerqChebyU]] >> </div><br />
</div><br />
<br />
The LaTeX DLMF and DRMF macro '''\CiglerqChebyT''' represents the Cigler <math>q</math>-Chebyshev polynomial of the first 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 />
:'''\CiglerqChebyT{n}''' produces <math>{\displaystyle \CiglerqChebyT{n}}</math><br /><br />
:'''\CiglerqChebyT{n}@{x}{s}{q}''' produces <math>{\displaystyle \CiglerqChebyT{n}@{x}{s}{q}}</math><br /><br />
<br />
These are defined by<br />
<math><br />
{\displaystyle<br />
\CiglerqChebyT{n}@{x}{s}{q}:=(-s)^{\frac12 n} \bigqJacobiIVparam{n}@{(-qs)^{-\frac12} x}{q^{-\frac12}}{q^{-\frac12}}{1}{1}{q}.<br />
}</math><br />
<br />
<br /><br />
<br />
== Symbols List ==<br />
<br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:CiglerqChebyT <math>{\displaystyle T_{n}}</math>]</span> : Cigler <math>{\displaystyle q}</math>-Chebyshev polynomial <math>{\displaystyle T}</math> : [http://drmf.wmflabs.org/wiki/Definition:CiglerqChebyT http://drmf.wmflabs.org/wiki/Definition:CiglerqChebyT]<br /><br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:bigqJacobiIVparam <math>{\displaystyle P_{n}}</math>]</span> : big <math>{\displaystyle q}</math>-Jacobi polynomial with four parameters : [http://drmf.wmflabs.org/wiki/Definition:bigqJacobiIVparam http://drmf.wmflabs.org/wiki/Definition:bigqJacobiIVparam]<br />
<br /><div id="drmf_foot"><br />
<div id="alignleft"> << [[Definition:bigqLegendre|Definition:bigqLegendre]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:CiglerqChebyU|Definition:CiglerqChebyU]] >> </div><br />
</div></div>
imported>SeedBot