DLMF:18.14.E20 (Q5685): Difference between revisions

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Property / constraint
 

m = 1 , 2 , , n 𝑚 1 2 𝑛 {\displaystyle{\displaystyle m=1,2,\dots,n}}

m=1,2,\dots,n
Property / constraint: m = 1 , 2 , , n 𝑚 1 2 𝑛 {\displaystyle{\displaystyle m=1,2,\dots,n}} / rank
 
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Revision as of 17:00, 30 December 2019

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DLMF:18.14.E20
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    Statements

    | P n ( α , β ) ( x n , n - m ) P n ( α , β ) ( 1 ) | > | P n + 1 ( α , β ) ( x n + 1 , n - m + 1 ) P n + 1 ( α , β ) ( 1 ) | , Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 𝑛 𝑚 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 subscript 𝑥 𝑛 1 𝑛 𝑚 1 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 1 {\displaystyle{\displaystyle\left|\frac{P^{(\alpha,\beta)}_{n}\left(x_{n,n-m}% \right)}{P^{(\alpha,\beta)}_{n}\left(1\right)}\right|>\left|\frac{P^{(\alpha,% \beta)}_{n+1}\left(x_{n+1,n-m+1}\right)}{P^{(\alpha,\beta)}_{n+1}\left(1\right% )}\right|,}}
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    m = 1 , 2 , , n 𝑚 1 2 𝑛 {\displaystyle{\displaystyle m=1,2,\dots,n}}
    0 references