Teaching CSIR NET Mock Test Series Mathematical Science Complex Analysis Theorems of Complex analysis
Let f be an entire function. Which of the following statement is FALSE?
1
If Re(f), Im(f) are bounded then f is constant.
2
If e|Re(f)|+|Im(f)| is bounded, then f is constant
3
If the sum Re(f) + Im(f) and the product Re(f)Im(f) are bounded, then f is constant
4
If sin (Re(f) + Im(f)) is bounded, then f is constant.