1.15.E50

MaRDI QIDQ562

• Label: 1.15.E50

Digital Library of Mathematical Functions ID 1.15.E50

${\displaystyle{\displaystyle I^{\alpha}f(x)=\sum^{\infty}_{k=0}\frac{k!}{\Gamma\left(k+\alpha+1\right)}a_{k}x^{k+\alpha}.}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle k}}$: integer
• ${\displaystyle{\displaystyle I^{\alpha}}}$: fractional integral (locally)
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