1. Consider the following function: sin z e f(2) = 23(z – 3i)² sin (a) Find all the singularities of the function. Are they isolated? (b) singularity in case of a pole. Classify all the isolated singularity. Indicate the order of (c) Compute the residue Res(f; 20), where zo is the pole. (d) Write down the Laurent expansion g(2) =e about 2* = 0 as = (2)6 k=-0 How many non-vanishing terms ag do we have for k < 0? What does that imply?
1. Consider the following function: sin z e f(2) = 23(z – 3i)² sin (a) Find all the singularities of the function. Are they isolated? (b) singularity in case of a pole. Classify all the isolated singularity. Indicate the order of (c) Compute the residue Res(f; 20), where zo is the pole. (d) Write down the Laurent expansion g(2) =e about 2* = 0 as = (2)6 k=-0 How many non-vanishing terms ag do we have for k < 0? What does that imply?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 41EQ
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