MHB Analytic Function II: Complex Calculation

  • Thread starter Thread starter asqw121
  • Start date Start date
  • Tags Tags
    Function
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.
 
A sphere as topological manifold can be defined by gluing together the boundary of two disk. Basically one starts assigning each disk the subspace topology from ##\mathbb R^2## and then taking the quotient topology obtained by gluing their boundaries. Starting from the above definition of 2-sphere as topological manifold, shows that it is homeomorphic to the "embedded" sphere understood as subset of ##\mathbb R^3## in the subspace topology.
Back
Top