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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6420 • PDE

Fall 2019 • Question 6

Question

Math 6420 • PDE Fall 2019 • Question 6

If a complex function is differentiable and has constant modulus, show that the function itself is constant.

Raw LaTeX

If a complex function is differentiable and has constant modulus, show that the function
itself is constant.

Topic Tags

Entire Functions and Liouville's Theorem