Mathematics · Complex Analysis
Which of the following is true for the function f(z) = e4z - 1cosh(z) - 2 sinh(z)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The value of the contour integral 1πi ∮C f(z) dz around a small contour enclosing z0 = ln 3 is -16/√3✓
- 2The residue at the pole is -4/√3
- 3f(z) has a pole of order two at z0 = ln 3
- 4f(z) has a simple pole at z0 = ln 3
Correct answer
The value of the contour integral 1πi ∮C f(z) dz around a small contour enclosing z0 = ln 3 is -16/√3
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