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Math · Algebra
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3. Construct functions which have the following properties (a) A double pole at 2 i, a double zero at 2 1, and an isolated essential singularity at 2 -i. (b) A removable singularity at 2 i, a pole of order 3 at 2 i and a non-isolated singularity at infinity. (It may have other singularities in addition to those mentioned here.)

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