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Formula:6549

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Digital Library of Mathematical Functions ID 18.21.E1

Q n ⁡ ( x ; α , β , N ) = R x ⁡ ( n ⁢ ( n + α + β + 1 ) ; α , β , N ) , Hahn-polynomial-Q 𝑛 𝑥 𝛼 𝛽 𝑁 dual-Hahn-R 𝑥 𝑛 𝑛 𝛼 𝛽 1 𝛼 𝛽 𝑁 {\displaystyle{\displaystyle Q_{n}\left(x;\alpha,\beta,N\right)=R_{x}\left(n(n% +\alpha+\beta+1);\alpha,\beta,N\right),}}


Constraint(s)

n , x = 0 , 1 , … , N formulae-sequence 𝑛 𝑥 0 1 … 𝑁 {\displaystyle{\displaystyle n,x=0,1,\dots,N}}

Symbols List

  • Q n ⁡ ( x ; α , β , N ) Hahn-polynomial-Q 𝑛 𝑥 𝛼 𝛽 𝑁 {\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{\alpha},\NVar{% \beta},\NVar{N}\right)}} : Hahn polynomial
  • R n ⁡ ( x ; γ , δ , N ) dual-Hahn-R 𝑛 𝑥 𝛾 𝛿 𝑁 {\displaystyle{\displaystyle R_{\NVar{n}}\left(\NVar{x};\NVar{\gamma},\NVar{% \delta},\NVar{N}\right)}} : dual Hahn polynomial
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • N 𝑁 {\displaystyle{\displaystyle N}} : positive integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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