Definition:Hahn

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The LaTeX DLMF and DRMF macro \Hahn represents the Hahn polynomial.

This macro is in the category of polynomials.

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

\Hahn{n} produces ${\displaystyle{\displaystyle{\displaystyle Q_{n}}}}$

\Hahn{n}@{x}{\alpha}{\beta}{N} produces ${\displaystyle{\displaystyle{\displaystyle Q_{n}\!\left(x;\alpha,\beta,N\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle Q_{n}\!\left(x;\alpha,\beta,N\right):=\HyperpFq{3}{2}@@{-n,n+\alpha+\beta+1,-x}{\alpha+1,-N}{1}}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle Q_{n}}}}$ : Hahn polynomial : http://dlmf.nist.gov/18.19#T1.t1.r3
${\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}$ : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1

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