DLMF:2.6.E61 (Q887)

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DLMF:2.6.E61
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    Statements

    Defining formula
    ℳ ⁡ h x ⁡ ( j + α ) = x - j - α ⁢ ℳ ⁡ h ⁡ ( j + α ) , Mellin-transform subscript ℎ 𝑥 𝑗 𝛼 superscript 𝑥 𝑗 𝛼 Mellin-transform ℎ 𝑗 𝛼 {\displaystyle{\displaystyle\mathscr{M}\mskip-3.0mu h_{x}\mskip 3.0mu \left(j+% \alpha\right)=x^{-j-\alpha}\mathscr{M}\mskip-3.0mu h\mskip 3.0mu \left(j+% \alpha\right),}}
    0 references
    DLMF id
    DLMF:2.6.E61
    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.m2aedec
    0 references
    Q11019
    Defining formula
    f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    xml-id
    C2.S6.XMD2.m1afdec
    0 references
     
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