Let f(z) =u(x,y) + iv(x, y) be an entire function satisfying v(x, y) > x for all z= x+yi, where u(x, y) = Re(f(z)) and v(x,y) = Im(f(z)). Show that f(z) is a polynomial of degree 1.

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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