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Definition:ctsqLegendre - Revision history
2024-03-29T06:09:42Z
Revision history for this page on the wiki
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Move page script: Move page script moved page Definition:ctsqLegendre to D:ctsqLegendre
2019-12-22T06:48:47Z
<p>Move page script moved page <a href="/wiki/Definition:ctsqLegendre" title="Definition:ctsqLegendre">Definition:ctsqLegendre</a> to <a href="https://www.wikidata.org/wiki/ctsqLegendre" class="extiw" title="d:ctsqLegendre">D:ctsqLegendre</a></p>
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imported>SeedBot: DRMF
2017-03-05T22:33:08Z
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imported>SeedBot
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imported>SeedBot: DRMF
2017-03-05T22:32:54Z
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imported>SeedBot
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imported>SeedBot: DRMF
2017-03-05T22:32:18Z
<p>DRMF</p>
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imported>SeedBot
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imported>SeedBot: DRMF
2017-03-05T22:26:16Z
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<p><b>New page</b></p><div><div id="drmf_head"><br />
<div id="alignleft"> << [[Definition:ctsqLaguerre|Definition:ctsqLaguerre]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:f|Definition:f]] >> </div><br />
</div><br />
<br />
The LaTeX DLMF and DRMF macro '''\ctsqLegendre''' represents the continuous <math>q</math>-Legendre 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 />
:'''\ctsqLegendre{n}''' produces <math>{\displaystyle \ctsqLegendre{n}}</math><br /><br />
:'''\ctsqLegendre{n}@{x}{q}''' produces <math>{\displaystyle \ctsqLegendre{n}@{x}{q}}</math><br /><br />
:'''\ctsqLegendre{n}@@{x}{q}''' produces <math>{\displaystyle \ctsqLegendre{n}@@{x}{q}}</math><br /><br />
<br />
These are defined by<br />
<br />
<math>{\displaystyle<br />
\dualqKrawtchouk{n}@{\lambda(x)}{c}{N}{q}:=\qHyperrphis{3}{2}@@{q^{-n},q^{-x},cq^{x-N}}{q^{-N},0}{q}{q}<br />
}.</math><br />
<br /><br />
<br />
== Symbols List ==<br />
<br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:ctsqLegendre <math>{\displaystyle P_{n}}</math>]</span> : continuous <math>{\displaystyle q}</math>-Legendre polynomial : [http://drmf.wmflabs.org/wiki/Definition:ctsqLegendre http://drmf.wmflabs.org/wiki/Definition:ctsqLegendre]<br /><br />
<span class="plainlinks">[http://drmf.wmflabs.org/wiki/Definition:dualqKrawtchouk <math>{\displaystyle K_{n}}</math>]</span> : dual <math>{\displaystyle q}</math>-Krawtchouk polynomial : [http://drmf.wmflabs.org/wiki/Definition:dualqKrawtchouk http://drmf.wmflabs.org/wiki/Definition:dualqKrawtchouk]<br /><br />
<span class="plainlinks">[http://dlmf.nist.gov/17.4#E1 <math>{\displaystyle {{}_{r}\phi_{s}}}</math>]</span> : basic hypergeometric (or <math>{\displaystyle q}</math>-hypergeometric) function : [http://dlmf.nist.gov/17.4#E1 http://dlmf.nist.gov/17.4#E1]<br />
<br /><div id="drmf_foot"><br />
<div id="alignleft"> << [[Definition:ctsqLaguerre|Definition:ctsqLaguerre]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:f|Definition:f]] >> </div><br />
</div></div>
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