DLMF:9.7.E20 (Q2829)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:9.7.E20
No description defined

    Statements

    Defining formula
    R n ⁢ ( z ) = ( - 1 ) n ⁢ ∑ k = 0 m - 1 ( - 1 ) k ⁢ u k ⁢ G n - k ⁡ ( 2 ⁢ ζ ) ζ k + R m , n ⁢ ( z ) , subscript 𝑅 𝑛 𝑧 superscript 1 𝑛 superscript subscript 𝑘 0 𝑚 1 superscript 1 𝑘 subscript 𝑢 𝑘 rescaled-terminant-function 𝑛 𝑘 2 𝜁 superscript 𝜁 𝑘 subscript 𝑅 𝑚 𝑛 𝑧 {\displaystyle{\displaystyle R_{n}(z)=(-1)^{n}\sum_{k=0}^{m-1}(-1)^{k}u_{k}% \frac{G_{n-k}\left(2\zeta\right)}{\zeta^{k}}+R_{m,n}(z),}}
    0 references
    DLMF id
    DLMF:9.7.E20
    0 references
    Symbols used
    rescaled terminant function
    Defining formula
    G p ⁡ ( z ) rescaled-terminant-function 𝑝 𝑧 {\displaystyle{\displaystyle G_{\NVar{p}}\left(\NVar{z}\right)}}
    xml-id
    C9.S7.E22.m2adec
    0 references
    Q11385
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C9.S1.XMD1.m1mdec
    0 references
    Q11381
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1ndec
    0 references
    change of variable (locally)
    Defining formula
    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C9.S7.XMD1.m1ndec
    0 references
    Q11392
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C9.S7.XMD10.m1dec
    0 references
    Q11391
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C9.S7.XMD11.m1bdec
    0 references
    Q11387
    Defining formula
    u s subscript 𝑢 𝑠 {\displaystyle{\displaystyle u_{s}}}
    xml-id
    C9.S7.XMD2.m1gdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2829&oldid=48953"