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Formula:6382

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Digital Library of Mathematical Functions ID 18.14.E20

| 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|,}}


Constraint(s)

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

Symbols List

  • P n ( α , β ) ⁡ ( x ) Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 {\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}} : Jacobi polynomial
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative 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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