
Complex Analysis Complex Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
January 22nd, 2013, 04:31 AM  #1 
Newbie Joined: Aug 2012 Posts: 8 Thanks: 0  Is this proof valid
Let: x,u,y,v:C?R be functions in the complex variable s=a+ib defined by convergente series. I have this implication: If x(s)=u(s),y(s)=v(s) , then after some steps on these series one get an equation of the form: h(s)=0 which give one value of s as s=1+ib for some b . I call this result (s=1+ib ) as "(P)". The function h here depends on the given functions x,u,y,v . Its formula is not important. let A=s?C(s)=u(s),y(s)=v(s) and B=s?C(s)=u(s)=y(s)=v(s)=0 is a proper subset of A . I know that if s?A then (P) holds true. My question is as follow: What happen if s?B . Is (P) true or false!. We remark here that if s?B then we cannot construct the function h and hence we cannot deduce (P), i.e., if x(s)=u(s)=y(s)=v(s)=0 then I cannot do anything and the proof stoped here. 
January 22nd, 2013, 12:51 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,787 Thanks: 708  Re: Is this proof valid
I'll start by saying I have no idea what you are trying to do. However you say that something is true for (all?) s in A. Since B is a subset of A, it will be true for s in B. 
January 28th, 2013, 02:37 AM  #3 
Senior Member Joined: Dec 2012 Posts: 148 Thanks: 0  Re: Is this proof valid
could you post original version of problem???


Tags 
proof, valid 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Is this a valid proof?  eddybob123  Number Theory  2  August 1st, 2013 09:21 PM 
Proof Valid?  rummi  Real Analysis  1  November 21st, 2012 07:19 PM 
Proof valid?  rummi  Real Analysis  1  October 5th, 2012 12:11 PM 
Is this proof valid  rummi  Calculus  3  September 26th, 2012 02:54 PM 
is this a valid proof?  ElMarsh  Algebra  4  September 19th, 2009 05:05 AM 