DLMF:1.9.E62 (Q344): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10829 / rank
 
Normal rank
Property / Symbols used: Q10829 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q10829 / qualifier
 
xml-id: C1.S9.XMD25.m1bdec
Property / Symbols used
 
Property / Symbols used: Q10830 / rank
 
Normal rank
Property / Symbols used: Q10830 / qualifier
 
test:

p j subscript 𝑝 𝑗 {\displaystyle{\displaystyle p_{j}}}

p_{j}
Property / Symbols used: Q10830 / qualifier
 
xml-id: C1.S9.XMD26.m1bdec

Latest revision as of 15:10, 1 January 2020

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DLMF:1.9.E62
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    Statements

    p n = ( ( ν - n + 1 ) a 1 p n - 1 + ( 2 ν - n + 2 ) a 2 p n - 2 + + ( ( n - 1 ) ν - 1 ) a n - 1 p 1 + n ν a n ) / n , subscript 𝑝 𝑛 𝜈 𝑛 1 subscript 𝑎 1 subscript 𝑝 𝑛 1 2 𝜈 𝑛 2 subscript 𝑎 2 subscript 𝑝 𝑛 2 𝑛 1 𝜈 1 subscript 𝑎 𝑛 1 subscript 𝑝 1 𝑛 𝜈 subscript 𝑎 𝑛 𝑛 {\displaystyle{\displaystyle p_{n}=((\nu-n+1)a_{1}p_{n-1}+(2\nu-n+2)a_{2}p_{n-% 2}+\dots+((n-1)\nu-1)a_{n-1}p_{1}+n\nu a_{n})/n,}}
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    Warning: Falling back to standard tex;
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    n 1 𝑛 1 {\displaystyle{\displaystyle n\geq 1}}
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1mdec
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    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C1.S9.XMD25.m1bdec
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    p j subscript 𝑝 𝑗 {\displaystyle{\displaystyle p_{j}}}
    C1.S9.XMD26.m1bdec
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