DLMF:2.6.E38 (Q864): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10915 / rank
 
Normal rank
Property / Symbols used: Q10915 / qualifier
 
test:

δ ⁡ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}

\Diracdelta@{\NVar{x-a}}
Property / Symbols used: Q10915 / qualifier
 
xml-id: C1.S17.SS1.p1.m2acdec

Revision as of 16:15, 1 January 2020

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DLMF:2.6.E38
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    Statements

    test
    t μ - 1 ∗ δ ( s - 1 ) = Γ ⁡ ( μ ) Γ ⁡ ( μ + 1 - s ) ⁢ t μ - s , ∗ superscript 𝑡 𝜇 1 Dirac-delta 𝑠 1 Euler-Gamma 𝜇 Euler-Gamma 𝜇 1 𝑠 superscript 𝑡 𝜇 𝑠 {\displaystyle{\displaystyle t^{\mu-1}\ast{\delta^{(s-1)}}=\frac{\Gamma\left(% \mu\right)}{\Gamma\left(\mu+1-s\right)}t^{\mu-s},}}
    0 references
    DLMF id
    DLMF:2.6.E38
    0 references
    constraint
    t > 0 𝑡 0 {\displaystyle{\displaystyle t>0}}
    0 references
    Symbols used
    Q10915
    test
    δ ⁡ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}
    xml-id
    C1.S17.SS1.p1.m2acdec
    0 references
     
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