Math Is Fun Forum

magic_box

Guest

fractional calculus/gamma function help

hello, i've just been reading up on a wiki article about fractional calculus. i understand what it is, but i just don't follow their calculations. for example they say that:

but i thought that gamma(2) = 1 and that gamma(1.5) = (√π)/2 ? this is the only step here that i don't follow at all

magic_box

Guest

Re: fractional calculus/gamma function help

the article is here btw: http://en.wikipedia.org/wiki/Fractional_calculus

thanks

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: fractional calculus/gamma function help

Hi magic_box

That answer is correct.

Welcome to the forum.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

magic_box

Guest

Re: fractional calculus/gamma function help

hi,

thanks!! darn, i am so stupid, i didnt even bother to evaluate it. agh......... thanks for your help! 

also, do you know how to do complex derivatives? i.e.

?

also, is there a general formula for fractional integration, like the one given in the wiki article?

thanks!

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: fractional calculus/gamma function help

You are in hard territory here.

This is covered in the fractional calculus.

I have never heard of a complex derivative like you describe. I have heard of a derivative of a complex function but not that. What is it?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

magic_box

Guest

Re: fractional calculus/gamma function help

hi, thanks for the reply.

what is

representing, as you have used above?

thanks

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: fractional calculus/gamma function help

Hi;

Beats me. I got that in my notes and I took it from here:

http://mathworld.wolfram.com/FractionalIntegral.html

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.