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Complex analysis and complex plane

by tsopatsopa
Tags: complex analysis, function, trajectory
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tsopatsopa
#1
Jun25-11, 07:08 PM
P: 4
1. The problem statement, all variables and given/known data
Let z= x + yi be a complex number.
and f(z) = u + vi a complex function.
As:
u = sinx[itex]\ast[/itex]coshy
v= cosx[itex]\ast[/itex]sinhy

And if z has a trajectory shown in the attached image.
What would be the trajectory of the point (u,v) ?
Attached Thumbnails
photo_math.JPG  
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#2
Jun26-11, 01:29 AM
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P: 6,188
Welcome to PF, tsopatsopa!

Pick a couple of points on the trajectory and plug the numbers into your function?


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