This series can be expressed as a rational function.
The rational function is given correctly, in this case: .
They can also be polynomials - this is a rational function.
It can be shown that these are rational functions.
Let ƒ(x) be any rational function over the real numbers.
This is a rational function (one polynomial divided by another).
Here is an example of a rational function which possesses a Herman ring.
Further, there is a rational function which possesses a Herman ring with period 2.
His method for integrating the rational functions is well known.
This definition can be extended to rational functions as well.