solve the complex analysis problem


by chwala
Tags: analysis, complex, solve
chwala
chwala is offline
#1
Feb27-12, 03:49 AM
P: 42
The problem is attached

regards,

chwala ken
Attached Files
File Type: doc complex analysis problem.doc (253.0 KB, 45 views)
Phys.Org News Partner Science news on Phys.org
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
susskind_leon
susskind_leon is offline
#2
Feb27-12, 08:48 AM
P: 179
Nope dude, that's incorrect. x and y are wrong. Try forming a real-valued denominator and then check again what x and y are.
chwala
chwala is offline
#3
Mar10-12, 02:15 AM
P: 42
i do not get it ? A complex number has a Real part and an Imaginary part. The idea is to breakdown the expression in the form x+iy so i do not understand why you are talking of real valued denominator. Kindly expound by looking at the problem and check where i went wrong.

susskind_leon
susskind_leon is offline
#4
Mar10-12, 04:39 AM
P: 179

solve the complex analysis problem


Suppose z=1/(a+i*b)
Then z not equal to 1/a + i*1/b
Why? Basic fraction calculus. You cannot "split up" a fraction among its denominator, which is what you're intending. You can split it up among the nominator though, so you should make the denominator real-valued by expanding with its complex conjugate, that is
z=(a-i*b)/((a+i*b)*(a-i*b))=(a-i*b)/(a^2+b^2)
so your final expression would be
a/(a^2+b^2)-i*b/(a^2+b^2)

If you don't understand the above, my advice would be to real a bit about basics of complex numbers on wikipedia (no offense)
chwala
chwala is offline
#5
Mar12-12, 03:48 AM
P: 42
Ha..,Thanks Susskind for the insight.


Register to reply

Related Discussions
Can complex analysis be used to solve PDEs other than the Laplacian? Differential Equations 4
Please help me solve loop analysis problem Engineering, Comp Sci, & Technology Homework 11
Complex analysis problem Calculus & Beyond Homework 11
Complex Analysis Problem Calculus & Beyond Homework 3
Complex Analysis Problem #1 Calculus & Beyond Homework 2