Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Complex Analysis Analytic Functions
Let f(z) = (z4 + 10) sin z3 for z ∈ ℂ. Let f(z) = u(x, y) + iv (x, y),
where z = x + iy and u, v are real-valued functions. Then which of the following is true?
1
u : ℝ2 → ℝ is infinitely differentiable
2
u is continuous but need not be differentiable
3
u is bounded
4
f(z) is not analytic function
5
Question Not Attempted