DLMF:3.2.E22 (Q1103): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11159 / rank
 
Normal rank
Property / Symbols used: Q11159 / qualifier
 
Defining formula:

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

\beta_{j}
Property / Symbols used: Q11159 / qualifier
 
xml-id: C3.S2.XMD11.m1adec

Latest revision as of 17:44, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:3.2.E22
No description defined

    Statements

    Defining formula
    𝐁 = [ α 1 β 2 0 β 2 α 2 β 3 ⋱ ⋱ ⋱ β n - 1 α n - 1 β n 0 β n α n ] 𝐁 subscript 𝛼 1 subscript 𝛽 2 absent absent 0 subscript 𝛽 2 subscript 𝛼 2 subscript 𝛽 3 absent absent absent ⋱ ⋱ ⋱ absent absent absent subscript 𝛽 𝑛 1 subscript 𝛼 𝑛 1 subscript 𝛽 𝑛 0 absent absent subscript 𝛽 𝑛 subscript 𝛼 𝑛 {\displaystyle{\displaystyle\mathbf{B}=\begin{bmatrix}\alpha_{1}&\beta_{2}&&&0% \\ \beta_{2}&\alpha_{2}&\beta_{3}&&\\ &\ddots&\ddots&\ddots&\\ &&\beta_{n-1}&\alpha_{n-1}&\beta_{n}\\ 0&&&\beta_{n}&\alpha_{n}\end{bmatrix}}}
    0 references
    DLMF id
    DLMF:3.2.E22
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q11158
    Defining formula
    α j subscript 𝛼 𝑗 {\displaystyle{\displaystyle\alpha_{j}}}
    xml-id
    C3.S2.XMD10.m1adec
    0 references
    Q11159
    Defining formula
    β j subscript 𝛽 𝑗 {\displaystyle{\displaystyle\beta_{j}}}
    xml-id
    C3.S2.XMD11.m1adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1103&oldid=26022"