Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Complex Analysis Theorems of Complex analysis
Let f ∶ ℂ → ℂ be an entire function with \(f\left(\frac{1}{n} \right)=\frac{1}{n^4}\) for all n ∈ ℕ. Then which of the following statements is true?
1
No such f exists
2
such an ƒ is not unique
3
f(z) = z4 for all z ∈ ℂ
4
f(z) need not be a polynomial function