DLMF:29.15.E2 (Q8747): Difference between revisions

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‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: DLMF:29.3.E11 / rank
 
Normal rank
Property / Symbols used: DLMF:29.3.E11 / qualifier
 
Defining formula:

α p subscript 𝛼 𝑝 {\displaystyle{\displaystyle\alpha_{p}}}

\alpha_{p}
Property / Symbols used: DLMF:29.3.E11 / qualifier
 
xml-id: C29.S3.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q12360 / rank
 
Normal rank
Property / Symbols used: Q12360 / qualifier
 
Defining formula:

β p subscript 𝛽 𝑝 {\displaystyle{\displaystyle\beta_{p}}}

\beta_{p}
Property / Symbols used: Q12360 / qualifier
 
xml-id: C29.S3.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q12361 / rank
 
Normal rank
Property / Symbols used: Q12361 / qualifier
 
Defining formula:

γ p subscript 𝛾 𝑝 {\displaystyle{\displaystyle\gamma_{p}}}

\gamma_{p}
Property / Symbols used: Q12361 / qualifier
 
xml-id: C29.S3.XMD4.m1dec

Latest revision as of 01:30, 2 January 2020

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English
DLMF:29.15.E2
No description defined

    Statements

    Defining formula
    𝐌 = [ β 0 α 0 0 ⋯ 0 γ 1 β 1 α 1 ⋱ ⋮ 0 ⋱ ⋱ ⋱ 0 ⋮ ⋱ γ n - 1 β n - 1 α n - 1 0 ⋯ 0 γ n β n ] 𝐌 subscript 𝛽 0 subscript 𝛼 0 0 ⋯ 0 subscript 𝛾 1 subscript 𝛽 1 subscript 𝛼 1 ⋱ ⋮ 0 ⋱ ⋱ ⋱ 0 ⋮ ⋱ subscript 𝛾 𝑛 1 subscript 𝛽 𝑛 1 subscript 𝛼 𝑛 1 0 ⋯ 0 subscript 𝛾 𝑛 subscript 𝛽 𝑛 {\displaystyle{\displaystyle\mathbf{M}=\begin{bmatrix}\beta_{0}&\alpha_{0}&0&% \cdots&0\\ \gamma_{1}&\beta_{1}&\alpha_{1}&\ddots&\vdots\\ 0&\ddots&\ddots&\ddots&0\\ \vdots&\ddots&\gamma_{n-1}&\beta_{n-1}&\alpha_{n-1}\\ 0&\cdots&0&\gamma_{n}&\beta_{n}\end{bmatrix}}}
    0 references
    DLMF id
    DLMF:29.15.E2
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q12367
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C29.S1.XMD2.m1adec
    0 references
    DLMF:29.3.E11
    Defining formula
    α p subscript 𝛼 𝑝 {\displaystyle{\displaystyle\alpha_{p}}}
    xml-id
    C29.S3.XMD2.m1dec
    0 references
    Q12360
    Defining formula
    β p subscript 𝛽 𝑝 {\displaystyle{\displaystyle\beta_{p}}}
    xml-id
    C29.S3.XMD3.m1dec
    0 references
    Q12361
    Defining formula
    γ p subscript 𝛾 𝑝 {\displaystyle{\displaystyle\gamma_{p}}}
    xml-id
    C29.S3.XMD4.m1dec
    0 references
     
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