Can anyone point out a way to get f(z) = z + e^h(z) into the form f(z) = (1-e^(z*h(z)))/z
I have used all of the algebra tricks I know and it seems to be going nowhere.
As part of a project I have been working on I fin it necessary to manipulate the following expression.
e^(icx)/(x^2 + a^2)^2 for a,c > 0
I would like to decomp it into the form
A/(x^2 + a^2) + B/(x^2 + a^2) = e^(icx)/(x^2 + a^2)^2
but I am having trouble getting a usable outcome.
I have been working in complex functions and this is a new animal I came across.
Let γ be a piecewise smooth curve from -1 to 1, and let
A=∫γa(x2-y2) + 2bxy dz
B=∫γ2axy - b(x2-y2) dz
Prove A + Bi = (2/3)(a-bi)
In the past anything like this defined γ and I would find a parametric...