DLMF:2.5.E5 (Q781): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Mellin transform / rank
 
Normal rank
Property / Symbols used: Mellin transform / qualifier
 
Defining formula:

( 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.m2acdec

Revision as of 17:01, 1 January 2020

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DLMF:2.5.E5
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    Statements

    I ( x ) = 1 2 π i c - i c + i x - z f ( 1 - z ) h ( z ) d z , 𝐼 𝑥 1 2 𝜋 𝑖 superscript subscript 𝑐 𝑖 𝑐 𝑖 superscript 𝑥 𝑧 Mellin-transform 𝑓 1 𝑧 Mellin-transform 𝑧 𝑧 {\displaystyle{\displaystyle I(x)=\frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty}% x^{-z}\mathscr{M}\mskip-3.0mu f\mskip 3.0mu \left(1-z\right)\mathscr{M}\mskip-% 3.0mu h\mskip 3.0mu \left(z\right)\mathrm{d}z,}}
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    DLMF:2.5.E5
    0 references
    ( f ) ( s ) Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}
    C1.S14.E32.m2acdec
    0 references