DLMF:2.6.E18 (Q843)

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DLMF:2.6.E18
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    Statements

    Defining formula
    c s = ( - 1 ) s ( s - 1 ) ! ⁢ ℳ ⁡ f ⁡ ( s ) , subscript 𝑐 𝑠 superscript 1 𝑠 𝑠 1 Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle c_{s}=\frac{(-1)^{s}}{(s-1)!}\mathscr{M}\mskip-3.% 0mu f\mskip 3.0mu \left(s\right),}}
    0 references
    DLMF id
    DLMF:2.6.E18
    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.m2adec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5acdec
    0 references
    Q11024
    Defining formula
    c ≠ 0 𝑐 0 {\displaystyle{\displaystyle c\neq 0}}
    xml-id
    C2.S6.XMD13.m1adec
    0 references
    Q11019
    Defining formula
    f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    xml-id
    C2.S6.XMD2.m1edec
    0 references
     
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