https://drmf-beta.wmflabs.org/index.php?title=Definition:dualqKrawtchouk&feed=atom&action=history
Definition:dualqKrawtchouk - Revision history
2024-03-29T10:35:03Z
Revision history for this page on the wiki
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Move page script: Move page script moved page Definition:dualqKrawtchouk to D:dualqKrawtchouk
2019-12-22T06:50:04Z
<p>Move page script moved page <a href="/wiki/Definition:dualqKrawtchouk" title="Definition:dualqKrawtchouk">Definition:dualqKrawtchouk</a> to <a href="https://www.wikidata.org/wiki/dualqKrawtchouk" class="extiw" title="d:dualqKrawtchouk">D:dualqKrawtchouk</a></p>
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<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:50, 22 December 2019</td>
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imported>SeedBot: DRMF
2017-03-05T22:33:12Z
<p>DRMF</p>
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imported>SeedBot
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imported>SeedBot: DRMF
2017-03-05T22:32:21Z
<p>DRMF</p>
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<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:32, 5 March 2017</td>
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imported>SeedBot
https://drmf-beta.wmflabs.org/index.php?title=Definition:dualqKrawtchouk&diff=419&oldid=prev
imported>SeedBot: DRMF
2017-03-05T22:30:55Z
<p>DRMF</p>
<p><b>New page</b></p><div><div id="drmf_head"><br />
<div id="alignleft"> << [[Definition:dualqHahn|Definition:dualqHahn]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:littleqLaguerre|Definition:littleqLaguerre]] >> </div><br />
</div><br />
<br />
The LaTeX DLMF and DRMF macro '''\dualqKrawtchouk''' represents the dual <math>q</math>-Krawtchouk.<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 />
:'''\dualqKrawtchouk{n}''' produces <math>{\displaystyle \dualqKrawtchouk{n}}</math><br /><br />
:'''\dualqKrawtchouk{n}@{\lambda(x)}{c}{N}{q}''' produces <math>{\displaystyle \dualqKrawtchouk{n}@{\lambda(x)}{c}{N}{q}}</math><br /><br />
:'''\dualqKrawtchouk{n}@@{\lambda(x)}{c}{N}{q}''' produces <math>{\displaystyle \dualqKrawtchouk{n}@@{\lambda(x)}{c}{N}{q}}</math><br /><br />
<br />
These are defined by<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 />
== Symbols List ==<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:dualqHahn|Definition:dualqHahn]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:littleqLaguerre|Definition:littleqLaguerre]] >> </div><br />
</div></div>
imported>SeedBot