Express Gamma(i) in terms of elementary functions, if possible.

(i is the imaginary unit and Gamma is Euler's Gamma Function)

(Elementary functions are as defined in Wickepedia)

Bob.

Printable View

- Sep 24th 2007, 01:05 AMbobbykGamma(i)
Express Gamma(i) in terms of elementary functions, if possible.

(i is the imaginary unit and Gamma is Euler's Gamma Function)

(Elementary functions are as defined in Wickepedia)

Bob. - Sep 24th 2007, 04:43 AMJhevon
- Sep 24th 2007, 11:00 AMThePerfectHacker
- Sep 24th 2007, 02:24 PMtopsquark
- Sep 24th 2007, 02:47 PMbobbykGamma(i)
Thanks, all!

I have the numerical value of Gamma(i). Its modulus is an elementary

function: Sqrt(pi/sinh(pi)).

So its real and imaginary parts COULD be elementary functions too, but

I haven't been able to find them.

Bob. - Sep 24th 2007, 05:57 PMThePerfectHacker
- Sep 24th 2007, 06:05 PMThePerfectHacker

Now,

Thus,

So we end up with,

What next? - Sep 25th 2007, 06:47 AMtopsquark