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Find the Laurent expansion for g(z) in the regions |z-1|<1, 1<|... | Filo

Find the Laurent expansion for g(z) in the regions |z-1|<1, 1<|... | Filo

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SOLVED:(a) Develop a Laurent expansion of f(z)=[z(z-1)]^-1 about the point z=1 valid for small values of |z-1| . Specify the exact range over which your expansion holds. This is an analytic continuation of Eq. (6.75). (b) Determine the Laurent expansion of f(z) about z=1 but for |z-1| large.

SOLVED:(a) Develop a Laurent expansion of f(z)=[z(z-1)]^-1 abou…

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