Definition:monicWilson: Difference between revisions

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:'''\monicWilson{n}@@{x^2}{a}{b}{c}{d}''' produces <math>{\displaystyle \monicWilson{n}@@{x^2}{a}{b}{c}{d}}</math><br />
:'''\monicWilson{n}@@{x^2}{a}{b}{c}{d}''' produces <math>{\displaystyle \monicWilson{n}@@{x^2}{a}{b}{c}{d}}</math><br />


These are defined by
These are defined by<ref>Formula:KLS:09.01:10</ref>
<math>
 
{\displaystyle
<math display=block>
\Wilson{n}@{x^2}{a}{b}{c}{d}=:(-1)^n\pochhammer{n+a+b+c+d-1}{n}\monicWilson{n}@@{x^2}{a}{b}{c}{d}.
\Wilson{n}@{x^2}{a}{b}{c}{d}=:(-1)^n\pochhammer{n+a+b+c+d-1}{n}\monicWilson{n}@@{x^2}{a}{b}{c}{d}.
}</math>
</math>
<br />
<br />


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<span class="plainlinks">[http://dlmf.nist.gov/18.25#T1.t1.r2 <math>{\displaystyle W_{n}}</math>]</span> : Wilson polynomial : [http://dlmf.nist.gov/18.25#T1.t1.r2 http://dlmf.nist.gov/18.25#T1.t1.r2]<br />
<span class="plainlinks">[http://dlmf.nist.gov/18.25#T1.t1.r2 <math>{\displaystyle W_{n}}</math>]</span> : Wilson polynomial : [http://dlmf.nist.gov/18.25#T1.t1.r2 http://dlmf.nist.gov/18.25#T1.t1.r2]<br />
<span class="plainlinks">[http://dlmf.nist.gov/5.2#iii <math>{\displaystyle (a)_n}</math>]</span> : Pochhammer symbol : [http://dlmf.nist.gov/5.2#iii http://dlmf.nist.gov/5.2#iii]
<span class="plainlinks">[http://dlmf.nist.gov/5.2#iii <math>{\displaystyle (a)_n}</math>]</span> : Pochhammer symbol : [http://dlmf.nist.gov/5.2#iii http://dlmf.nist.gov/5.2#iii]
<references />
<br /><div id="drmf_foot">
<br /><div id="drmf_foot">
<div id="alignleft"> << [[Definition:monicUltra|Definition:monicUltra]] </div>
<div id="alignleft"> << [[Definition:monicUltra|Definition:monicUltra]] </div>
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<div id="alignright"> [[Definition:NeumannFactor|Definition:NeumannFactor]] >> </div>
<div id="alignright"> [[Definition:NeumannFactor|Definition:NeumannFactor]] >> </div>
</div>
</div>
[[Category:KLS9]]

Latest revision as of 07:49, 22 December 2019

The LaTeX DLMF and DRMF macro \monicWilson represents the monic Wilson polynomial.

This macro is in the category of polynomials.

In math mode, this macro can be called in the following ways:

\monicWilson{n} produces
\monicWilson{n}@{x^2}{a}{b}{c}{d} produces
\monicWilson{n}@@{x^2}{a}{b}{c}{d} produces

These are defined by[1]


Symbols List

 : monic Wilson polynomial : http://drmf.wmflabs.org/wiki/Definition:monicWilson
 : Wilson polynomial : http://dlmf.nist.gov/18.25#T1.t1.r2
 : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

  1. Formula:KLS:09.01:10