MHB Analytic Function II: Complex Calculation

  • Thread starter Thread starter asqw121
  • Start date Start date
  • Tags Tags
    Function
Click For Summary
The discussion revolves around the complex function p(z) defined as p(z)=A(z-z1)...(z-zn), where A is a non-zero complex number. Participants are encouraged to demonstrate that P'(z)/P(z) equals the sum of 1/(z-zj) for z not equal to zj. Several users express frustration with the problem, indicating they have attempted solutions but remain stuck. The importance of showing previous attempts is emphasized to facilitate better assistance from others. Overall, the thread highlights the challenges of solving complex function problems and the collaborative nature of seeking help.
asqw121
Messages
5
Reaction score
0
Let p(z)=A(z-z1)...(z-zn) where A and z1...zn are complex numbers and A not equal to 0 . Show that
P'(z)/P(z)=∑ (1/(z-zj)) z not equal z z1...zn
 
Physics news on Phys.org
Re: Analytic function

What have you tried? This isn't the place to dump homework and collect answers :(
 
Re: Analytic function III

Already try hard but I really stuck on this question
Please help
 
Re: Analytic function III

asqw121 said:
Already try hard but I really stuck on this question
Please help

If you show what you have tried, then our helpers can help, otherwise they are left to do the problem for you, which is of little help to you as far as you being able to work this problem and others like it yourself.
 

Similar threads

Undergrad Apparent counterexample to Cauchy-Goursat theorem (Complex Analysis)
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad About convergence of complex power series on the circle ##|z - z_0|=r##
  • · Replies 22 ·
Replies
22
Views
4K
Undergrad Bounding modulus of complex logarithm times complex power function
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Regarding fibrations between smooth manifolds
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Question about covering map of punctured unit disk
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Topology - Boundary of a ball without a point
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Laurent series for algebraic functions
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Showing that a function is analytic
  • · Replies 2 ·
Replies
2
Views
2K
MHB Differentiating Complex Square Root Function: Bruce P. Palka, Ex. 1.5, Ch. III
  • · Replies 2 ·
Replies
2
Views
2K
MHB Complex Function Theory: Explaining Example 1.5, Section 1.2, Chapter III
  • · Replies 2 ·
Replies
2
Views
2K