Recent content by Jakim

Infinite exponentiation Define: \displaystyle\bigodot\limits_{i=1}^n a_i = {a_1}^{{a_2}^{{...}^{a_n}}}=\exp(\ln a_1 \cdot \exp(\ln a_2 \cdot \exp(\ln a_3 \cdots (\exp(\ln a_{n-1} \cdot a_n)))) Has anybody thought about convergence test for real numbers for...

Hi, I've downloaded it even :). It was an answer to some of my questions. Thanks.

Thanks, I didn't know it has a name; I will look for articles about it. Anyway I have reached the sum the same way as it is shown in your link.

Hi. I tried to evaluate a definite integral of x^x from 0 to 1 and I have reached following sum: \int_0^1 x^x = \sum_{n=1}^{\infty} \frac{(-n)^{1-n}}{n} Is there an expression of this sum, for example in terms of Meijer G-function? I tried to find x^x as G-function form to integrate it but...