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Formula:6513

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Digital Library of Mathematical Functions ID 18.18.E26

P n ( α , β ) ⁡ ( x ) P n ( α , β ) ⁡ ( 1 ) = ∑ ℓ = 0 n b n , ℓ ⁢ ( x + 1 ) ℓ . Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 superscript subscript ℓ 0 𝑛 subscript 𝑏 𝑛 ℓ superscript 𝑥 1 ℓ {\displaystyle{\displaystyle\frac{P^{(\alpha,\beta)}_{n}\left(x\right)}{P^{(% \alpha,\beta)}_{n}\left(1\right)}=\sum_{\ell=0}^{n}b_{n,\ell}(x+1)^{\ell}.}}


Constraint(s)

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
  • ℓ ℓ {\displaystyle{\displaystyle\ell}} : 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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