# Simplify or clarify e^e^e^x ?

1. Sep 15, 2010

### PlasticOh-No

Is there any way to simplify or clarify e^e^e^x ?
Some sort of equivalence to a hypergeometric?
Thanks

2. Sep 15, 2010

### CRGreathouse

Re: e^e^e^x

Assuming that these associate the usual way (right-to-left), they don't really simplify.

3. Sep 16, 2010

### HallsofIvy

Re: e^e^e^x

What you have written, without parentheses,is ambiguous. That is why CRGreathouse said "Assuming that these associate the usual way (right-to-left)".

$$e^{e^{e^x}}$$
does not simplify.

$$((e^e)^e)^x= (e^e)^{ex}= e^{e^2x}$$

4. Sep 16, 2010

### jackmell

Re: e^e^e^x

Assume it's the way I think you want it to be:

$$e^{e^{e^{x}}}=\sum_{n=0}^{\infty} a_n x^n$$

and you know how to figure out what each a_n is.

5. Sep 17, 2010

### PlasticOh-No

Re: e^e^e^x

Thanks everyone for your help. Yes, I meant

$$e^{e^{e^{x}}}$$

Last edited: Sep 17, 2010