Erdelyi–Kober operator

In mathematics, an Erdélyi–Kober operator is a fractional integration operation introduced by Template:Harvs and Template:Harvs.

The Erdélyi–Kober fractional integral is given by

$\frac{x^{-\nu -\alpha +1}}{\mathrm{\Gamma }(\alpha )}{\int }_0^x(t-x{)}^{\alpha -1}{t}^{-\alpha -\nu }f(t)dt$

which generalizes the Riemann fractional integral and the Weyl integral.

References

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