DLMF:18.26.E3 (Q5933): Difference between revisions

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Property / constraint
 

n = 0 , 1 , , N 𝑛 0 1 𝑁 {\displaystyle{\displaystyle n=0,1,\dots,N}}

n=0,1,\dots,N
Property / constraint: n = 0 , 1 , , N 𝑛 0 1 𝑁 {\displaystyle{\displaystyle n=0,1,\dots,N}} / rank
 
Normal rank

Revision as of 17:03, 30 December 2019

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DLMF:18.26.E3
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    Statements

    R n ( y ( y + γ + δ + 1 ) ; α , β , γ , δ ) = F 3 4 ( - n , n + α + β + 1 , - y , y + γ + δ + 1 α + 1 , β + δ + 1 , γ + 1 ; 1 ) , Racah-polynomial-R 𝑛 𝑦 𝑦 𝛾 𝛿 1 𝛼 𝛽 𝛾 𝛿 Gauss-hypergeometric-pFq 4 3 𝑛 𝑛 𝛼 𝛽 1 𝑦 𝑦 𝛾 𝛿 1 𝛼 1 𝛽 𝛿 1 𝛾 1 1 {\displaystyle{\displaystyle R_{n}\left(y(y+\gamma+\delta+1);\alpha,\beta,% \gamma,\delta\right)={{}_{4}F_{3}}\left({-n,n+\alpha+\beta+1,-y,y+\gamma+% \delta+1\atop\alpha+1,\beta+\delta+1,\gamma+1};1\right),}}
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    n = 0 , 1 , , N 𝑛 0 1 𝑁 {\displaystyle{\displaystyle n=0,1,\dots,N}}
    0 references