So here are my questions(adsbygoogle = window.adsbygoogle || []).push({});

If z(w)= R + iw/c, then 1/z = 1/(R + iw/c)

Where does 1/z have singularities? I mean, there doesn't appear to be a point where R= -iw/c since R is real and the other term is imaginary.

And how do I show the Real and Imaginary parts of 1/z are related by dispersion relations? And do I have to close the contour in the upper or lower half plane for this derivation.

It seems to me that what I am looking for is a derivation of the Hilbert transformations, but get at me if you have any suggestions as to what I should do.

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# Dispersion relations question

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