Complex Analysis (use the Liouville equation): Suppose that f(z)u, ) (, u) is an entire function such that 7u9n is bounded. Prove that fis constant Hint: Multiply f by an appropriate complex constant...

Question

Question

Complex Analysis (use the Liouville equation):

Suppose that f(z)u, ) (, u) is an entire function such that 7u9n is bounded. Prove that fis constant Hint: Multiply f by an a

Answer 1

Answer #1

Criven that ut gur f」 constant efine 74 t gw = K (Constant ) U 0 (지 → g is constant (q-90)f(z) aha(z)= is f constant

Answer 2

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