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 08:49, 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
- \monicRacah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta} produces
- \monicRacah{n}@@{\lambda(x)}{\alpha}{\beta}{\gamma}{\delta} produces
These are defined by[1]
Symbols List
: monic Racah polynomial : http://drmf.wmflabs.org/wiki/Definition:monicRacah
: Racah polynomial : http://dlmf.nist.gov/18.25#T1.t1.r4
: Pochhammer symbol : http://dlmf.nist.gov/5.2#iii