"circular" operators, "circular" derivatives, and "circular" tetration.

[tommy1729]

this is a curious thread.

But cxp(x) satisfies the nice equation 

f ' (x) = f( - x)

now I know you like fractional derivatives so

D^z f(x) = f( (-1)^z x)

or

D^z f(x) = f( cos(pi z) x)

???

regards

tommy1729

Lol, I was like 18 years old when I made this thread tommy. It's hot garbage!

ah yes but how about the fractional derivatives ?

is that garbage too ? 

why prefer one garbage over another ?

Im not convinced by fractional derivatives nor their applications like interpolation and such.

I find it funny that you can define the fractional derivatives in infinitely many ways but only makes sense for integers imo ...