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$S$ is domain(open set and connected) and $gamma$ is closed curve in $S$ . If $f(z)$ analytic on $S$ and $f'(z)$ continous on $S$

0

$begingroup$

$S$ is domain(open set and connected) and $gamma$ is closed curve in $S$ . If $f(z)$ analytic on $S$ and $f'(z)$ continous on $S$ . Show that $int _gamma overlinef(z)f'(z) dz$ is only imajiner part

I stuck to prove that the real part is zero -__-

complex-analysis complex-integration

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asked Mar 24 at 16:51

liolio

20516

$endgroup$

• 
  
  
  

  
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  $begingroup$
  Possible duplicate of Suppose that $f$ is analytic on a close curve γ. Prove or disprove $int_gamma overlinef(z)f'(z)dz$ is purely imagine.
  $endgroup$
  – kobe
  Mar 24 at 17:04
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thank you for your information
  $endgroup$
  – lio
  Mar 24 at 17:09
  

  
  
  
  

add a comment | 

0

$begingroup$

$S$ is domain(open set and connected) and $gamma$ is closed curve in $S$ . If $f(z)$ analytic on $S$ and $f'(z)$ continous on $S$ . Show that $int _gamma overlinef(z)f'(z) dz$ is only imajiner part

I stuck to prove that the real part is zero -__-

complex-analysis complex-integration

share|cite|improve this question

asked Mar 24 at 16:51

liolio

20516

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  Possible duplicate of Suppose that $f$ is analytic on a close curve γ. Prove or disprove $int_gamma overlinef(z)f'(z)dz$ is purely imagine.
  $endgroup$
  – kobe
  Mar 24 at 17:04
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thank you for your information
  $endgroup$
  – lio
  Mar 24 at 17:09
  

  
  
  
  

add a comment | 

$begingroup$

$S$ is domain(open set and connected) and $gamma$ is closed curve in $S$ . If $f(z)$ analytic on $S$ and $f'(z)$ continous on $S$ . Show that $int _gamma overlinef(z)f'(z) dz$ is only imajiner part

I stuck to prove that the real part is zero -__-

complex-analysis complex-integration

share|cite|improve this question

asked Mar 24 at 16:51

liolio

20516

$endgroup$

share|cite|improve this question

asked Mar 24 at 16:51

liolio

20516

share|cite|improve this question

asked Mar 24 at 16:51

liolio

20516

asked Mar 24 at 16:51

liolio

20516

asked Mar 24 at 16:51

liolio

20516