Definition:monicRacah: Difference between revisions
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:'''\monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}''' produces <math>{\displaystyle \monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}}</math><br /> | :'''\monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}''' produces <math>{\displaystyle \monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}}</math><br /> | ||
These are defined by | These are defined by<ref>[[Formula:KLS:09.02:14]]</ref> | ||
<math> | <math> | ||
\Racah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}=: | \Racah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}=: | ||
\frac{\pochhammer{n+\alpha+\beta+1}{n}}{\pochhammer{\alpha+1}{n}\pochhammer{\beta+\delta+1}{n}\pochhammer{\gamma+1}{n}}\monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}. | \frac{\pochhammer{n+\alpha+\beta+1}{n}}{\pochhammer{\alpha+1}{n}\pochhammer{\beta+\delta+1}{n}\pochhammer{\gamma+1}{n}}\monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}. | ||
</math> | |||
<br /> | <br /> | ||
<references/> | |||
== Symbols List == | == Symbols List == | ||
Latest revision as of 07:49, 22 December 2019
The LaTeX DLMF and DRMF macro \monicRacah represents the monic Racah polynomial.
This macro is in the category of polynomials.
In math mode, this macro can be called in the following ways:
- \monicRacah{n} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \monicRacah{n}}}
- \monicRacah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \monicRacah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}}}
- \monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}}}
These are defined by[1]
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Racah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}=: \frac{\pochhammer{n+\alpha+\beta+1}{n}}{\pochhammer{\alpha+1}{n}\pochhammer{\beta+\delta+1}{n}\pochhammer{\gamma+1}{n}}\monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta}. }
Symbols List
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {\widehat R}_{n}}}
: monic Racah polynomial : http://drmf.wmflabs.org/wiki/Definition:monicRacah
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle R_{n}}}
: Racah polynomial : http://dlmf.nist.gov/18.25#T1.t1.r4
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