I believe this equation to transcendental wrt x, does anyone have any tips for solving/evaluating it, i.e. analytic continuation etc!!
Ae^{-ikx} + Be^{-imx} + Ce^{-i2kx} + De^{-i2mx} + Ee^{-i(k+m)x} + F = 0
where A-F are real, and m,k real.
I believe this equation to transcendental wrt x, does anyone have any tips for solving/evaluating it, i.e. analytic continuation etc!!
Ae^{-ikx} + Be^{-imx} + Ce^{-i2kx} + De^{-i2mx} + Ee^{-i(k+m)x} + F = 0
where A-F are real, and m,k real.
Hey TomGibbons.
Can you use formulas to inductively contract the term to a single term of sines and cosines?
en.wikipedia.org/wiki/List_of_trigonometric_identities
The idea is to reduce it to some kind of real and complex part by continually reducing terms by using the identities to get a final answer. It's just a thought, don't know if it will be useful.