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2.5.E26 - MaRDI portal

2.5.E26 (Q772)

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2.5.E26
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    Statements

    DLMF defining formula
    ℳ ⁡ f ⁡ ( z ) = ℳ ⁡ f 1 ⁡ ( z ) + ℳ ⁡ f 2 ⁡ ( z ) Mellin-transform 𝑓 𝑧 Mellin-transform subscript 𝑓 1 𝑧 Mellin-transform subscript 𝑓 2 𝑧 {\displaystyle{\displaystyle\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(z% \right)=\mathscr{M}\mskip-3.0mu f_{1}\mskip 3.0mu \left(z\right)+\mathscr{M}% \mskip-3.0mu f_{2}\mskip 3.0mu \left(z\right)}}
    0 references
    Symbols used
    Mellin transform
    DLMF 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.m2ajdec
    0 references
    locally integrable function
    DLMF defining formula
    f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}
    xml-id
    C2.S5.XMD14.m1edec
    0 references
    truncated functions
    DLMF defining formula
    f j ⁢ ( t ) subscript 𝑓 𝑗 𝑡 {\displaystyle{\displaystyle f_{j}(t)}}
    xml-id
    C2.S5.XMD19.m1cdec
    0 references

    Identifiers

     
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