# Problem 8. Let f(z) = u(x, y) iv(x, y) be an entire function with real and...

###### Question:

Problem 8. Let f(z) = u(x, y) iv(x, y) be an entire function with real and imaginary parts u(x, y) and v(x, y). Assume that the imaginary part is bounded v(x, y) < M for every z = x+ iy. Prove that f is a constant 1

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