On the Transcendental Entire Solutions of a Certain Differential Equation and Fixed Points

الملخص EN

We will first show that the following differential equation F(k)−z=eα(F−z) has transcendental entire solutions, where F=fn and α is an entire function, which improve what we have known and answer an open question raised in the work of Zhang and Yang (2009).

And then, the examples are discussed.