Recent content by Dan7620

I'm a little doubtful because this solution seems trivial, but for the sake of completeness, here is my work: f\left( z \right)=\sum_{n\; =\; 0\; }^{\infty }{\frac{1}{n!z^{n}}} g\left( z \right)=\frac{1}{z^{5}}\left( \sum_{n\; =\; 0}^{\infty }{\frac{\left( -\frac{1}{z} \right)^{n}}{n!}}...

OK I believe I've solved the problem... both these functions f and g should have essential singularities at z=0, and their product has a pole of order 5 at zero: f\left( z \right)=e^{\frac{1}{z}} g\left( z \right)=\frac{1}{e^{\frac{1}{z}}z^{5}} Would anyone mind confirming this...

Homework Statement Find two analytic functions f and g with common essential singularity at z=0, but the product function f(z)g(z) has a pole of order 5 at z=0. Homework Equations Not an equation per say, but I'm thinking of the desired functions in terms of their respective Laurent...

Ah ok, thanks alot, much simpler.

EDIT: the second plane, x+3y+3z=3 is incorrect, as it is not parallel to the first one, x+2y+2z=4 (it should be).

Alright guys I am looking for some help with this problem regarding calculating total electric charge in a layer of ions. This layer of ions is bounded between the planes x+2y+2z=4 and x+3y+3z=3, and by the 3 co-ordinate planes. The density of the ions is rises linearly from zero at the outer...