I'm working with an equation that has the following term in it:
$$e^{-i x\log n}+e^{i x\log n}(2^{{1 \over 2}+ i x}\pi^{-{1 \over 2}+i x}\cos({\pi\over 4}-{{\pi i x}\over 2})\Gamma({1\over 2}-i x))$$
The two exponentials outside the parathesis are reminiscent of the well-known cosine identity, $\cos(x) = {1 \over 2}({{e^{-i x}+e^{i x}}) }$, of course. And graphing the equation, it does superficially look some wave with a frequency matching $\cos(x \log n)$ makes up a part of my equation.
Is there some way to simplify or rewrite this equation that makes that clearer?