View the step-by-step solution to:

Complex Analysis:

Complex Analysis: Find all functions f which are meromorphic in a neighborhood of {|z| <= 1} and such that |f(z)| = 1 for |z| = 1, f has a double pole at z = 1/2, a triple zero at z = -1/3, and no other zeros or poles in {|z| < 1 }

Top Answer

Dear student, please... View the full answer

ssd.pdf

1
2 f has pole of order 2 at point z =
Hence function can be written as
f (z ) = g (z )
(z − 12
) .(z
2 1
+ 3 )3 and pole of order 3 at point z = − 1 ,
3 , for some analytic function g (z ) (1)...

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask a homework question - tutors are online