Gold 60

Hahn polynomials

Gold ID

60

Link

https://sigir21.wmflabs.org/wiki/Hahn_polynomials#math.112.0

Formula

$Q_n(x;\alpha ,\beta ,N)={}_3{F}_2(-n,-x,n+\alpha +\beta +1;\alpha +1,-N+1;1).$

TeX Source

Q_n(x;\alpha,\beta,N)= {}_3F_2(-n,-x,n+\alpha+\beta+1;\alpha+1,-N+1;1).

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations
		-

Semantic LaTeX

Translation

\HahnpolyQ{n}@{x}{\alpha}{\beta}{N} = \genhyperF{3}{2}@{- n , - x , n + \alpha + \beta + 1}{\alpha + 1 , - N + 1}{1}

Expected (Gold Entry)

\HahnpolyQ{n}@{x}{\alpha}{\beta}{N} = \genhyperF{3}{2}@{- n , - x , n + \alpha + \beta + 1}{\alpha + 1 , - N + 1}{1}

Mathematica

Translation

Expected (Gold Entry)

Q[n_, x_, \[Alpha]_, \[Beta]_, N_] := HypergeometricPFQ[{- n , - x , n + \[Alpha]+ \[Beta]+ 1}, {\[Alpha]+ 1 , - N + 1}, 1]

Maple

Translation

Expected (Gold Entry)