DLMF:2.6.E33 (Q859)

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DLMF:2.6.E33
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    Statements

    test
    I μ ⁢ f ⁢ ( x ) = 1 Γ ⁡ ( μ ) ⁢ ∫ 0 x ( x - t ) μ - 1 ⁢ f ⁢ ( t ) ⁢ d t , superscript 𝐼 𝜇 𝑓 𝑥 1 Euler-Gamma 𝜇 superscript subscript 0 𝑥 superscript 𝑥 𝑡 𝜇 1 𝑓 𝑡 𝑡 {\displaystyle{\displaystyle I^{\mu}f(x)=\frac{1}{\Gamma\left(\mu\right)}\int_% {0}^{x}(x-t)^{\mu-1}f(t)\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:2.6.E33
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    constraint
    μ > 0 𝜇 0 {\displaystyle{\displaystyle\mu>0}}
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