02/15/2008, 05:35 PM

I think this belongs here as well , as a result involving only I:

One more interesting value is h(i*(e^(pi/2))) = h(I*(I^(1/I)).

And it is: h(i*i^(1/i)) = h(i^((1/i)+1)) = h( i^(1+i)/i)) = 0,213934198848366+I*0,213934198848366

So that form is a+i*a, and Arg is pi/4, so in exponential form:

h( i^(1+i)/i))= +-0,30254864546678200*e^(I*pi/4).

May be I have mixed some sign for imaginary part.

Ivars

One more interesting value is h(i*(e^(pi/2))) = h(I*(I^(1/I)).

And it is: h(i*i^(1/i)) = h(i^((1/i)+1)) = h( i^(1+i)/i)) = 0,213934198848366+I*0,213934198848366

So that form is a+i*a, and Arg is pi/4, so in exponential form:

h( i^(1+i)/i))= +-0,30254864546678200*e^(I*pi/4).

May be I have mixed some sign for imaginary part.

Ivars