DLMF:1.15.E50 (Q592)

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DLMF:1.15.E50
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    I α f ( x ) = k = 0 k ! Γ ( k + α + 1 ) a k x k + α . superscript 𝐼 𝛼 𝑓 𝑥 subscript superscript 𝑘 0 𝑘 Euler-Gamma 𝑘 𝛼 1 subscript 𝑎 𝑘 superscript 𝑥 𝑘 𝛼 {\displaystyle{\displaystyle I^{\alpha}f(x)=\sum^{\infty}_{k=0}\frac{k!}{% \Gamma\left(k+\alpha+1\right)}a_{k}x^{k+\alpha}.}}
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