DLMF:29.3.E10 (Q8597): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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

Revision as of 15:45, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:29.3.E10
No description defined

    Statements

    Defining formula
    β p - H - α p - 1 ⁢ γ p β p - 1 - H - α p - 2 ⁢ γ p - 1 β p - 2 - H - ⁢ … = α p ⁢ γ p + 1 β p + 1 - H - α p + 1 ⁢ γ p + 2 β p + 2 - H - ⁢ ⋯ , subscript 𝛽 𝑝 𝐻 continued-fraction subscript 𝛼 𝑝 1 subscript 𝛾 𝑝 subscript 𝛽 𝑝 1 𝐻 continued-fraction subscript 𝛼 𝑝 2 subscript 𝛾 𝑝 1 subscript 𝛽 𝑝 2 limit-from 𝐻 … continued-fraction subscript 𝛼 𝑝 subscript 𝛾 𝑝 1 subscript 𝛽 𝑝 1 𝐻 continued-fraction subscript 𝛼 𝑝 1 subscript 𝛾 𝑝 2 subscript 𝛽 𝑝 2 limit-from 𝐻 ⋯ {\displaystyle{\displaystyle\beta_{p}-H-\cfrac{\alpha_{p-1}\gamma_{p}}{\beta_{% p-1}-H-\cfrac{\alpha_{p-2}\gamma_{p-1}}{\beta_{p-2}-H-}}\dots=\cfrac{\alpha_{p% }\gamma_{p+1}}{\beta_{p+1}-H-\cfrac{\alpha_{p+1}\gamma_{p+2}}{\beta_{p+2}-H-}}% \cdots,}}
    0 references
    DLMF id
    DLMF:29.3.E10
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q12359
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C29.S1.XMD3.m1dec
    0 references
    DLMF:29.3.E9
    Defining formula
    H 𝐻 {\displaystyle{\displaystyle H}}
    xml-id
    C29.S3.XMD1.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
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8597&oldid=60530"