DLMF:1.12.E18 (Q448): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1ldec
Property / Symbols used
 
Property / Symbols used: Q10856 / rank
 
Normal rank
Property / Symbols used: Q10856 / qualifier
 
Defining formula:

p k subscript 𝑝 𝑘 {\displaystyle{\displaystyle p_{k}}}

p_{k}
Property / Symbols used: Q10856 / qualifier
 
xml-id: C1.S12.XMD5.m1dec

Latest revision as of 16:16, 1 January 2020

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DLMF:1.12.E18
No description defined

    Statements

    Defining formula
    p 0 + ∑ k = 1 n p 1 ⁢ p 2 ⁢ ⋯ ⁢ p k = p 0 + p 1 1 - p 2 1 + p 2 - p 3 1 + p 3 - ⋯ p n 1 + p n , subscript 𝑝 0 subscript superscript 𝑛 𝑘 1 subscript 𝑝 1 subscript 𝑝 2 ⋯ subscript 𝑝 𝑘 subscript 𝑝 0 continued-fraction subscript 𝑝 1 1 continued-fraction subscript 𝑝 2 1 subscript 𝑝 2 continued-fraction subscript 𝑝 3 1 subscript 𝑝 3 ⋯ continued-fraction subscript 𝑝 𝑛 1 subscript 𝑝 𝑛 {\displaystyle{\displaystyle p_{0}+\sum^{n}_{k=1}p_{1}p_{2}\cdots p_{k}=p_{0}+% \cfrac{p_{1}}{1-\cfrac{p_{2}}{1+p_{2}-\cfrac{p_{3}}{1+p_{3}-\cdots\cfrac{p_{n}% }{1+p_{n}}}}},}}
    0 references
    DLMF id
    DLMF:1.12.E18
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}}
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    Symbols used
    Q10756
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1ddec
    0 references
    Q10757
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1ldec
    0 references
    Q10856
    Defining formula
    p k subscript 𝑝 𝑘 {\displaystyle{\displaystyle p_{k}}}
    xml-id
    C1.S12.XMD5.m1dec
    0 references
     
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