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Jan
12
comment What is $0^{i}$?
@soultrane i-th order derivative of sine is $i \sinh (\frac \pi 2-ix)$: tinyurl.com/kdmdkvf
Jan
12
revised What is $0^{i}$?
deleted 35 characters in body
Jan
12
comment What is $0^{i}$?
@hjhjhj57 the topic starter already indicated that the limit does not exist, so this comment does not add anything. He was asking what value can be assigned to it nevertheless. The mean value of the sequence is $0$ (see my ansswer).
Jan
12
revised What is $0^{i}$?
added 56 characters in body
Jan
12
comment What is $0^{i}$?
@hjhjhj57 yes, and what?
Jan
12
comment What is $0^{i}$?
@hjhjhj57 $e^{-i \pi}=-1$, so $e^{-i \infty}=e^{-i \pi \infty}=(-1)^{-\infty}$. Also, $(-1)^x=\cos (\pi x) + i \sin (\pi x)$
Jan
12
comment What is $0^{i}$?
@hjhjhj57 what inequality?
Jan
12
comment What is $0^{i}$?
Why the downvote?
Jan
12
answered What is $0^{i}$?
Jan
12
answered Can you show why zero divided by zero does not equal zero?
Jan
12
answered Explanation of method for showing that 0 / 0 is undefined
Jan
11
awarded  Necromancer
Jan
11
revised Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?
not connected to eulergamma
Jan
11
revised Showing a function converges to e
not related to eulergamma
Jan
11
suggested approved edit on Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?
Jan
11
suggested approved edit on Showing a function converges to e
Jan
9
comment Closed form for generating function of Riemann Xi function
@Nicholas Pipitone okay, this all is not important. One can take $\Gamma(0)=\gamma$ and $\zeta(1)=-\gamma$.
Jan
9
comment Closed form for generating function of Riemann Xi function
@mike fixed, thanks (although I think using limit one can easily overcome the issue).
Jan
9
revised Closed form for generating function of Riemann Xi function
edited body
Jan
9
comment Closed form for generating function of Riemann Xi function
@mike it is Rieman Xi-function en.wikipedia.org/wiki/Riemann_Xi_function