A few days ago one of my teachers was talking about a half-derivative with basic polynomials and I got bored and tried to figure it out.(adsbygoogle = window.adsbygoogle || []).push({});

I found that we get

[tex]\frac{d^{a}y}{dx^{a}} x^n= \frac{(n!)x^{(n-a)}}{(n-a)!}[/tex]

The problem is when you set a=1/2 I get (n-1/2)! in my denominator and I'm not really sure how to interpret that...

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# One-Half Derivative

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