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Formula:6204

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Digital Library of Mathematical Functions ID 18.3.E1

βˆ‘ n = 1 N + 1 T j ⁑ ( x N + 1 , n ) ⁒ T k ⁑ ( x N + 1 , n ) = 0 , superscript subscript 𝑛 1 𝑁 1 Chebyshev-polynomial-first-kind-T 𝑗 subscript π‘₯ 𝑁 1 𝑛 Chebyshev-polynomial-first-kind-T π‘˜ subscript π‘₯ 𝑁 1 𝑛 0 {\displaystyle{\displaystyle{\sum_{n=1}^{N+1}T_{j}\left(x_{N+1,n}\right)T_{k}% \left(x_{N+1,n}\right)=0},}}


Constraint(s)

j β‰  k 𝑗 π‘˜ {\displaystyle{\displaystyle j\neq k}}

Symbols List

  • T n ⁑ ( x ) Chebyshev-polynomial-first-kind-T 𝑛 π‘₯ {\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}} : Chebyshev polynomial of the first kind
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • N 𝑁 {\displaystyle{\displaystyle N}} : positive integer
  • x π‘₯ {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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