in this paper, we show that for any finite order entire function $f(z)$, the function of the form $f(z)^{n}[f(z+c)-f(z)]^{s}$ has no nonzero finite picard exceptional value for all nonnegative integers $n, s$ satisfying $ngeq 3$, which can be viewed as a different result on hayman conjecture. we also obtain some uniqueness theorems for difference polynomials of entire functions sharing one comm...

For entire functions, the notions of their growth indicators such as Ritt order are classical in complex analysis. But the concepts of relative Ritt order of entire functions and as well as their technical advantages of not comparing with the growths of $exp exp z$ are not at all known to the researchers of this area. Therefore the studies of the growths of entire functions in the light of thei...

If f is an entire function and a complex number, said to be asymptotic value of if there exists path $$\gamma $$ from 0 infinity such that $$f(z) - a$$ tends as z along . The Denjoy–Carleman–Ahlfors Theorem asserts has n distinct values, then the rate growth at least order n/2, mean type. A long-standing problem asks whether this conclusion holds for functions having (entire) functions, each mo...

In this article we consider relative iteration of entire functions and studycomparative growth of the maximum term of iterated entire functions withthat of the maximum term of the related functions.