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Laurent series

In a Laurent series, terms with a negative exponent may occur, as in

 

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Explanation

We're going to determine the Laurent series of the function

in fhe point i. With a complex conjugate this is

First we only calculate with (z + i)⁻¹

This can be written as a geometric sequence

Multiplying by (z – i)⁻¹ gives

creating a Laurent series

 

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