How can we conclude that the transcendental entire functions need not have any fixed points?
For example consider $$f(z)=e^z+z,$$ why is it so?
Asked
Active
Viewed 114 times
1
BlackAdder
- 4,029
Ganesh
- 11
-
2In this case it's pretty clear that there is no fixed point because what you would have is $f(z) = z$ but then $f(z) = e^z + z$. Since $e^z \neq 0$, this equation does not have a fixed point. – Cameron Williams Jul 23 '13 at 15:57
-
thankyou for your response.may i clear about e^z not equal to zero does not have fixed points. – Ganesh Jul 23 '13 at 16:12
-
I got it thanks all. – Ganesh Jul 23 '13 at 18:13