half composite function

Question

There is half derivative. Is there any definition of half composite function? Or is it possible to define half composite of a function?

1) $f^n=f \circ \cdots \circ f $ ($n$-times, $n \in \mathbb Z^{+}$)

2) if $f$ has an inverse the we can define $f^{-n}$.

3) Can we define $f^{1/2}$ or $f^{\pi}$?

Possible duplicate of http://math.stackexchange.com/questions/676229/fractional-composite-of-functions — Element118, Oct 29 '15 at 13:50
You are right. Since it has an answer now. I cant delete it now. — 153, Oct 29 '15 at 13:59

score 1 · Accepted Answer · edited Apr 13 '17 at 12:58

1

Can be defined, but may or may not exist for a given function $f$.

edited Apr 13 '17 at 12:58

Community

answered Oct 29 '15 at 13:49

GEdgar

Thanks for your answer. I haven't seen the other related question. I thinkI have to close this one. – 153 Oct 29 '15 at 13:58

1 Answers1