DLMF:3.2.E23 (Q1104): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11159 / rank
 
Normal rank
Property / Symbols used: Q11159 / qualifier
 
test:

β j subscript 𝛽 𝑗 {\displaystyle{\displaystyle\beta_{j}}}

\beta_{j}
Property / Symbols used: Q11159 / qualifier
 
xml-id: C3.S2.XMD11.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11157 / rank
 
Normal rank
Property / Symbols used: Q11157 / qualifier
 
test:

λ 𝜆 {\displaystyle{\displaystyle\lambda}}

\lambda
Property / Symbols used: Q11157 / qualifier
 
xml-id: C3.S2.XMD8.m1cdec

Latest revision as of 16:44, 1 January 2020

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DLMF:3.2.E23
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    Statements

    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),}}
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    Warning: Falling back to standard tex;
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    k = 0 , 1 , , n - 1 𝑘 0 1 𝑛 1 {\displaystyle{\displaystyle k=0,1,\dots,n-1}}
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    α j subscript 𝛼 𝑗 {\displaystyle{\displaystyle\alpha_{j}}}
    C3.S2.XMD10.m1bdec
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    β j subscript 𝛽 𝑗 {\displaystyle{\displaystyle\beta_{j}}}
    C3.S2.XMD11.m1bdec
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    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    C3.S2.XMD8.m1cdec
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