>Human mathematics hasn't even extended the notion of the [math]\color{#b5bd68}{n}[/math]th derivative of a function [math]\color{#b5bd68}{f^{(n)}(x)}[/math] to complex values of [math]\color{#b5bd68}{n}[/math]
You are like little babies
t. Alien Mathematician
dumb frogposter
>>8383068
I can assure you those of us being oppressed are making major strides but we are under threat of reprisal.
>>8383068
>dumb frogposter who can't use jsmath tags properly also cant use google
what a surprise
https://en.wikipedia.org/wiki/Fractional_calculus
>Fractional calculus is a branch of mathematical analysis that studies the possibility of taking real number powers or complex number powers of the differentiation operator
>>8383085
Your invasion date has just been moved up a quarter century.
>>8383068
How about [math]{f^{\left( {a + ib} \right)}} \equiv {D_{\left( {a,b} \right)}}f[/math] ?
Really the only definition that would make sense.
Interestingly enough, I can't say I've actually even thought about doing that before.
>>8383085
neat
>>8383100
k-k-keep me posted
i'll start worrying a few centuries after it's clear you can use at least work a search engine
>>8383106
Literally ANY TIME you see a mathematical concept tied to natural numbers, ask yourself if you could generalize said concept to more general number fields.
PhDs and Fields Medals abound.
>>8383068
just use fourier transform
[math]f^{(z)} = \xi^z \hat(f)[/math]
>>8383189
fucked up my latex
[math]f^{(z)} = \xi^z \hat{f}[/math]