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Jan
14
accepted Fourier transform of exponent?
Jan
12
answered Imaginary-Order Derivative
Jan
12
comment What is $0^{i}$?
@soultrane there are multiple formulas, all give the same result, why you do not like it? I can explain with details. Wolfram specifics are not involved.
Jan
12
comment What is $0^{i}$?
@soultrane the number after "^" determines the derivative order. Win $0$ it gives sin, with $1$ it gives cosine, with -1 it gives -cosine etc. But it is off-topic here, I can explain with more details as a separate answer to your question.
Jan
12
comment What is $0^{i}$?
@hjhjhj57 I mention that the mean of this diverging series is $0$.
Jan
12
comment What is $0^{i}$?
@hjhjhj57 why u do not criticize Slade for the same?
Jan
12
comment What is $0^{i}$?
No, it is not wrong, it is widely accepted defginition. Prove it is wrong.
Jan
12
comment What is $0^{i}$?
"follows the convention $0^x=0$" - where u got this "convention" from? "and $0^0=0$ is questionable" - it is not questionable, it it plainly wrong, it is usually define to be 1 or left undefined.
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
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