HW5 - f z = a has a solution in D(i.e the equation f z = a...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 6322, Complex Analysis Fall 2011, HW#5 Due date: Wed., Oct 5, 2011 Chapter 5: 5, 7, 8, 10acf, 11, 16 Extra Problems : Extra 1 : Let { f n } be a sequence of holomorphic functions on an open set D , and assume that it converges to a non-constant function f uniformly on every compact subsets of D . Prove that if the equation
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: f ( z ) = a has a solution in D (i.e. the equation f ( z ) = a is solvable on D ), where a is some complex number, then for n big enough, the equation f n ( z ) = a is also solvable on D (i.e the equation f n ( z ) = a has at least one solution in D ). 1...
View Full Document

This note was uploaded on 02/21/2012 for the course MATH 4377 taught by Professor Staff during the Summer '08 term at University of Houston.

Ask a homework question - tutors are online