complex functions
I am given that f is entire and that f(z+1)= f(z+i) and I am asked to show that f is constant.
I dont see a way to apply Loiusvilles theorem because it doesn't say f is bounded so my feeling is to to try to show that f is constant on some line segment but I dont know which one. Any advice?
I dont see a way to apply Loiusvilles theorem because it doesn't say f is bounded so my feeling is to to try to show that f is constant on some line segment but I dont know which one. Any advice?