Section B: Answer ONE of the questions in this Section B.1) Define the residue of a function f at a point zo. Consider n

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Section B Answer One Of The Questions In This Section B 1 Define The Residue Of A Function F At A Point Zo Consider N 1 (68.37 KiB) Viewed 21 times

Section B: Answer ONE of the questions in this Section B.1) Define the residue of a function f at a point zo. Consider now the following complex function f(2)= -√² z² + a², 15 b) where a is a real, positive constant. Explain how to make f(z) single valued. Find the isolated singularities of f(z) and compute the residues of f(z) there. d) By choosing a suitable contour, and using the above result, prove that √x TT Jo dx = x² + a² [5 √2a [5] [2] [6] [12]