DLMF:2.5.E9 (Q785): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Mellin transform / rank
 
Normal rank
Property / Symbols used: Mellin transform / qualifier
 
Defining formula:

ℳ ⁡ ( f ) ⁡ ( s ) Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}

\Mellintrans@{\NVar{f}}@{\NVar{s}}
Property / Symbols used: Mellin transform / qualifier
 
xml-id: C1.S14.E32.m2afdec

Revision as of 17:02, 1 January 2020

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DLMF:2.5.E9
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    Statements

    Defining formula
    ℳ ⁡ f ⁡ ( 1 - z ) = π sin ⁡ ( π ⁢ z ) , Mellin-transform 𝑓 1 𝑧 𝜋 𝜋 𝑧 {\displaystyle{\displaystyle\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-z% \right)=\frac{\pi}{\sin\left(\pi z\right)},}}
    0 references
    DLMF id
    DLMF:2.5.E9
    0 references
    constraint
    0 < ℜ ⁡ z < 1 0 𝑧 1 {\displaystyle{\displaystyle 0<\Re z<1}}
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    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.m2afdec
    0 references
     
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