Definition:monicdualHahn

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The LaTeX DLMF and DRMF macro \monicdualHahn represents the monic dual Hahn.

This macro is in the category of polynomials.

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

\monicdualHahn{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}}}}$

\monicdualHahn{n}@{\lambda(x)}{\gamma}{\delta}{N} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}\!\left(\lambda(x);\gamma,\delta,N\right)}}}$

\monicdualHahn{n}@@{\lambda(x)}{\gamma}{\delta}{N} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}\!\left(\lambda(x)\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(\lambda(x);\gamma,\delta,N\right)=:\frac{1}{{\left(\gamma+1\right)_{n}}{\left(-N\right)_{n}}}{\widehat{R}}_{n}\!\left(\lambda(x;\gamma,\delta,N\right))}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}}}}$ : monic dual Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:monicdualHahn
${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : dual Hahn polynomial : http://dlmf.nist.gov/18.25#T1.t1.r5
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

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