DLMF:3.5.E30 (Q1284): Difference between revisions

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Property / constraint
 

k = 0 , 1 , 𝑘 0 1 {\displaystyle{\displaystyle k=0,1,\dots}}

k=0,1,\dots
Property / constraint: k = 0 , 1 , 𝑘 0 1 {\displaystyle{\displaystyle k=0,1,\dots}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q11171 / rank
 
Normal rank
Property / Symbols used: Q11171 / qualifier
 
test:

p n subscript 𝑝 𝑛 {\displaystyle{\displaystyle p_{n}}}

p_{n}
Property / Symbols used: Q11171 / qualifier
 
xml-id: C3.S5.XMD13.m1dec

Latest revision as of 16:51, 1 January 2020

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DLMF:3.5.E30
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    Statements

    p k + 1 ( x ) = ( x - α k ) p k ( x ) - β k p k - 1 ( x ) , subscript 𝑝 𝑘 1 𝑥 𝑥 subscript 𝛼 𝑘 subscript 𝑝 𝑘 𝑥 subscript 𝛽 𝑘 subscript 𝑝 𝑘 1 𝑥 {\displaystyle{\displaystyle p_{k+1}(x)=(x-\alpha_{k})p_{k}(x)-\beta_{k}p_{k-1% }(x),}}
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    Warning: Falling back to standard tex;
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    k = 0 , 1 , 𝑘 0 1 {\displaystyle{\displaystyle k=0,1,\dots}}
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    p n subscript 𝑝 𝑛 {\displaystyle{\displaystyle p_{n}}}
    C3.S5.XMD13.m1dec
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