Results 1 to 2 of 2

Math Help - Complex Integral in Complex Analysis

  1. #1
    Newbie
    Joined
    Aug 2011
    Posts
    6

    Complex Integral in Complex Analysis

    This is the problem (use Latex to see clearly the encoded word)...

    1. ) For n>=0, let $P(z)\in\math frak{L}_n=\dis playstyle\{P(z )=\sum_{i=0}^n a_iz^i:a_i\in {\pm\}~\mbo x{and}~z=e^{i\ theta}\}$. Then $$\displaystyl e\frac{1}{2^{n +1}}\sum_{P\i n\mathfrak{L}_ n}\frac{1}{2\ pi}\int_0^{2\ pi}\left|P(z) right|^2P(\ov erline{z})^2~d theta=?.$$

    2.) Let $P(z)\in\math frak{L}_n=\dis playstyle\{P(z )=\sum_{i=0}^n a_iz^i:a_i\in {\pm\}~\mbo x{and}~z=e^{i\ theta}\}$. Then for what values of $m$ does $$\displaystyl e\frac{1}{2^{n +1}}\sum_{P\i n\mathfrak{L}_ n}\frac{1}{2\ pi}\int_0^{2\ pi}z^{2m}\left|P(z) right|^2P(\ov erline{z})^2~d theta=0$$ for all $n\geq 0$.

    Note: The answer must be a function of $n$. Also, one can use any kind of programming. If one can solve this problem, he or she has a reward from me......hehehehe
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3

    Re: Complex Integral in Complex Analysis

    Quote Originally Posted by pbraullo View Post
    If one can solve this problem, he or she has a reward from me......hehehehe
    What kind of "reward" do you plan on giving the member that helps you with this?? I don't like the way this sounds. Please PM me about this thread.

    Thread Closed.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: September 13th 2011, 07:16 AM
  2. Replies: 12
    Last Post: June 2nd 2010, 02:30 PM
  3. Replies: 1
    Last Post: March 3rd 2008, 07:17 AM
  4. complex analysis integral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 6th 2007, 12:44 PM
  5. Complex Analysis-- Integral
    Posted in the Calculus Forum
    Replies: 10
    Last Post: December 21st 2006, 09:02 AM

/mathhelpforum @mathhelpforum