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3.2.E23

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MaRDI QIDQ1075

  • Label: 3.2.E23


Digital Library of Mathematical Functions ID 3.2.E23

p k + 1 ⁢ ( λ ) = ( λ - α k + 1 ) ⁢ p k ⁢ ( λ ) - β k + 1 2 ⁢ p k - 1 ⁢ ( λ ) , subscript 𝑝 𝑘 1 𝜆 𝜆 subscript 𝛼 𝑘 1 subscript 𝑝 𝑘 𝜆 superscript subscript 𝛽 𝑘 1 2 subscript 𝑝 𝑘 1 𝜆 {\displaystyle{\displaystyle p_{k+1}(\lambda)=(\lambda-\alpha_{k+1})p_{k}(% \lambda)-\beta_{k+1}^{2}p_{k-1}(\lambda),}}


Constraint(s)

k = 0 , 1 , … , n - 1 𝑘 0 1 … 𝑛 1 {\displaystyle{\displaystyle k=0,1,\dots,n-1}}

Symbols List

  • α j subscript 𝛼 𝑗 {\displaystyle{\displaystyle\alpha_{j}}} : matrix
  • β j subscript 𝛽 𝑗 {\displaystyle{\displaystyle\beta_{j}}} : matrix
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : eigenvalue
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