11/19/2009, 08:46 AM

(11/18/2009, 04:46 PM)tommy1729 Wrote: many methods to compute a certain tetration depend on contour integrals.I only know one method, i.e. the one of Dmitrii.

Quote:for instance kouznetsov defines his coefficients by contour integrals.

You can always get coefficients by contour integrals, but this is not his method. He obtains an integral equation with the function on the left side and the function is contained in the integral on the right side.

This can be used as a recurrence, to repeatedly compute the function on the left side, like you would do for example to find a fixed point, but this time with a function instead of a point.

For details just consult his paper.