01/02/2017, 05:21 PM

I might be a little bit late, but I have an idea. What if I say, we just need to know the so-called nth iterate form? For example:

(ax)^on = a^n x

Therefor:

(e^pi x)^oi = -x

Another samples:

(ax+b)^on = a^n x + sum 0 to n-1 a^k

(1÷x)^on = x^((-1)^n)

(x^a)^on = x^(a^n)

... etc.

If you need more form, just ask me.

So, we just need to subtitute i into the form, right?

But unfortunately, I do not know what we should do if the function is more complex.

(ax)^on = a^n x

Therefor:

(e^pi x)^oi = -x

Another samples:

(ax+b)^on = a^n x + sum 0 to n-1 a^k

(1÷x)^on = x^((-1)^n)

(x^a)^on = x^(a^n)

... etc.

If you need more form, just ask me.

So, we just need to subtitute i into the form, right?

But unfortunately, I do not know what we should do if the function is more complex.

Xorter Unizo