Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Dieudonne criterion

  1. May 3, 2010 #1
    i need a proof for the diedonne criterion on univalent polynomials.
    i was wondering if anyone knows a book or reference where i can find it.
    it says:
    polyn. of degree n is univalent in the open disk iff sum(k=1 --> n) a_k sin(kt)/sint z^(k-1)
    is not 0 in open unit disk, given 0 < t < pi/2
    thank you
  2. jcsd
  3. May 5, 2010 #2
    hey guys,
    i worked on the problem, and i proved it, it's very cute.
    anyway i did not find the original proof, but this is sufficient too.
    so thank you anyway, and if someone is interested, let me know i will post the solution.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook