Probability and complex function: Unit IV: Complex integration

Problems based on singularities and residues

Solved Example Problems | Complex integration

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Probability and complex function: Unit IV: Complex integration : Problems based on singularities and residues

PROBLEMS BASED ON SINGULARITIES AND RESIDUES

Example 4.3.1. Find the zeros of f (z) = z2 + 1 / 1 – z2

Solution: The zeros of f (z) are given by f (z) = 0


 

Example 4.3.2. Find the zeros of f (z) = sin 1 / z - a

Solution: The zeros are given by f (z) = 0


 

Example 4.3.3. Find the zeros of z3 – 1 / z3 + 1

Solution:

The zeros of f (z) are given by f (z) = 0


 

Example 4.3.4. Find the zeros of sin z - z / z3

Solution :



Example 4.3.5. Find the zeros of 1 - e2z / z4

Solution:


 

Probability and complex function: Unit IV: Complex integration : Tag: : Solved Example Problems | Complex integration - Problems based on singularities and residues

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