CVR16

From Exampleproblems

Find the residues of $f(z)\,$ at all its isolated singular points and at infinity (if infinity is not a limit point of singular points), where $f(z)\,$ is given by $\frac{e^{i z}}{\sqrt{z}}\,$

This problem is currently in dispute. A reputable source thinks the given function is not representable by a Laurent series and so the residue is not defined. Investigation is proceeding.

Note that

$\frac{e^{i z}}{\sqrt{z}} = \frac{\sqrt{z}e^{i z}}{z}\,$