DLMF:2.6.E29 (Q855)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:2.6.E29
No description defined

    Statements

    Defining formula
    d ~ s = lim z → s + 1 ⁡ ( ℳ ⁡ f ⁡ ( z ) + a s z - s - 1 ) , subscript ~ 𝑑 𝑠 subscript → 𝑧 𝑠 1 Mellin-transform 𝑓 𝑧 subscript 𝑎 𝑠 𝑧 𝑠 1 {\displaystyle{\displaystyle\widetilde{d}_{s}=\lim_{z\to s+1}\left(\mathscr{M}% \mskip-3.0mu f\mskip 3.0mu \left(z\right)+\frac{a_{s}}{z-s-1}\right),}}
    0 references
    DLMF id
    DLMF:2.6.E29
    0 references
    Symbols used
    Mellin transform
    Defining formula
    ℳ ⁡ ( f ) ⁡ ( s ) Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}
    xml-id
    C1.S14.E32.m2abdec
    0 references
    Q11019
    Defining formula
    f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    xml-id
    C2.S6.XMD2.m1kdec
    0 references
    Q11020
    Defining formula
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    xml-id
    C2.S6.XMD3.m1gdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q855&oldid=24764"