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Definition:Racah - Revision history
2024-03-28T15:16:45Z
Revision history for this page on the wiki
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Move page script: Move page script moved page Definition:Racah to D:Racah
2019-12-22T06:50:11Z
<p>Move page script moved page <a href="/wiki/Definition:Racah" title="Definition:Racah">Definition:Racah</a> to <a href="https://www.wikidata.org/wiki/Racah" class="extiw" title="d:Racah">D:Racah</a></p>
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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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imported>SeedBot
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imported>SeedBot: DRMF
2017-03-05T22:31:18Z
<p>DRMF</p>
<p><b>New page</b></p><div><div id="drmf_head"><br />
<div id="alignleft"> << [[Definition:Wilson|Definition:Wilson]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:ctsdualHahn|Definition:ctsdualHahn]] >> </div><br />
</div><br />
<br />
The LaTeX DLMF and DRMF macro '''\Racah''' represents the Racah 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 />
:'''\Racah{n}''' produces <math>{\displaystyle \Racah{n}}</math><br /><br />
:'''\Racah{n}@{x}{\alpha}{\beta}{\gamma}{\delta}''' produces <math>{\displaystyle \Racah{n}@{x}{\alpha}{\beta}{\gamma}{\delta}}</math><br /><br />
<br />
These are defined by<br />
<math>{\displaystyle<br />
\Racah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}<br />
{}:=\HyperpFq{4}{3}@@{-n,n+\alpha+\beta+1,-x,x+\gamma+\delta+1}{\alpha+1,\beta+\delta+1,\gamma+1}{1},<br />
}</math><br />
<br />
where <math>{\displaystyle \lambda(x)=x(x+\gamma+\delta+1), }</math> <br />
and <math>\alpha+1=-N</math> or <math>\beta+\delta+1=-N</math> or <math>\gamma+1=-N</math><br />
with <math>N</math> a nonnegative integer.<br />
<br />
== Symbols List ==<br />
<br />
<span class="plainlinks">[http://dlmf.nist.gov/18.25#T1.t1.r4 <math>{\displaystyle R_{n}}</math>]</span> : Racah polynomial : [http://dlmf.nist.gov/18.25#T1.t1.r4 http://dlmf.nist.gov/18.25#T1.t1.r4]<br /><br />
<span class="plainlinks">[http://dlmf.nist.gov/16.2#E1 <math>{\displaystyle {{}_{p}F_{q}}}</math>]</span> : generalized hypergeometric function : [http://dlmf.nist.gov/16.2#E1 http://dlmf.nist.gov/16.2#E1]<br />
<br /><div id="drmf_foot"><br />
<div id="alignleft"> << [[Definition:Wilson|Definition:Wilson]] </div><br />
<div id="aligncenter"> [[Main_Page|Main Page]] </div><br />
<div id="alignright"> [[Definition:ctsdualHahn|Definition:ctsdualHahn]] >> </div><br />
</div></div>
imported>SeedBot