In mathematics, an Erdélyi–Kober operator is a fractional integration operation introduced by and . The Erdélyi–Kober fractional integral is given by :

\frac\int_0^x (t-x)^t^f(t) dt

which generalizes the Riemann fractional integral and the

Weyl integral In mathematics, the Weyl integral (named after Hermann Weyl) is an operator defined, as an example of fractional calculus, on functions ''f'' on the unit circle having integral 0 and a Fourier series. In other words there is a Fourier series for ...

References

* * * * * {{DEFAULTSORT:Erdelyi-Kober operator Fractional calculus