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> | |||
<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> | |||
<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 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \monicWilson{n}}}
- \monicWilson{n}@{x^2}{a}{b}{c}{d} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \monicWilson{n}@{x^2}{a}{b}{c}{d}}}
- \monicWilson{n}@@{x^2}{a}{b}{c}{d} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \monicWilson{n}@@{x^2}{a}{b}{c}{d}}}
These are defined by[1]
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \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}. }
Symbols List
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {\widehat W}_{n}}}
: monic Wilson polynomial : http://drmf.wmflabs.org/wiki/Definition:monicWilson
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle W_{n}}}
: Wilson polynomial : http://dlmf.nist.gov/18.25#T1.t1.r2
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a)_n}}
: Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
- ↑ Formula:KLS:09.01:10