DLMF:2.6.E35 (Q861): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: convolution (locally) / rank
 
Normal rank
Property / Symbols used: convolution (locally) / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\ast}}

\ast
Property / Symbols used: convolution (locally) / qualifier
 
xml-id: C2.S6.XMD17.m1adec

Revision as of 17:14, 1 January 2020

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DLMF:2.6.E35
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    Statements

    I μ f ( x ) = 1 Γ ( μ ) ( t μ - 1 f ) ( x ) . superscript 𝐼 𝜇 𝑓 𝑥 1 Euler-Gamma 𝜇 superscript 𝑡 𝜇 1 𝑓 𝑥 {\displaystyle{\displaystyle I^{\mu}f(x)=\frac{1}{\Gamma\left(\mu\right)}(t^{% \mu-1}\ast f)(x).}}
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    DLMF:2.6.E35
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2abdec
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    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    C2.S6.XMD14.m1adec
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    I μ superscript 𝐼 𝜇 {\displaystyle{\displaystyle I^{\mu}}}
    C2.S6.XMD15.m1adec
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    {\displaystyle{\displaystyle\ast}}
    C2.S6.XMD17.m1adec
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