Unformatted text preview: 5. Find the Laurent Series expansion for f z ( ) = 1 z z − 1 ( ) 2 about the point z= 1. Give the region of convergence. HINTS: Try expanding 1 z about z= 1 first. You need not compute any integrals to solve this problem. 6. For the expressions in each of parts b and c of Poularikas and Seely, problem 9 (p. 983): (i) Find all poles. (ii) Find the residue of the pole nearest the origin. (iii) Find all essential singularities. Justify your answers. NOTE: Don’t forget to include the point at z = ∞ ....
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- Fall '08
- Taylor Series, Taylor series expansion, Laurent series expansion, point z=1