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Formula:6380

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Digital Library of Mathematical Functions ID 18.14.E18

| P n ( α , β ) ⁡ ( x n , 0 ) | < | P n ( α , β ) ⁡ ( x n , 1 ) | < ⋯ < | P n ( α , β ) ⁡ ( x n , n ) | , Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 0 Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 1 ⋯ Jacobi-polynomial-P 𝛼 𝛽 𝑛 subscript 𝑥 𝑛 𝑛 {\displaystyle{\displaystyle|P^{(\alpha,\beta)}_{n}\left(x_{n,0}\right)|<|P^{(% \alpha,\beta)}_{n}\left(x_{n,1}\right)|<\cdots<|P^{(\alpha,\beta)}_{n}\left(x_% {n,n}\right)|,}}


Constraint(s)

- 1 < β ≤ - 1 2 1 𝛽 1 2 {\displaystyle{\displaystyle-1<\beta\leq-\tfrac{1}{2}}}

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
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

Resources that cite this formula

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This page was last edited on 28 January 2024, at 11:30.
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