Values shared by an entire function and its derivative

Some Results on the Questions of Kit-Wing Yu

“…To the knowledge of the author perhaps Rubel and Yang [12] were the first authors to study the entire functions that share values with their derivatives and they proved the following result. E. Mues and N. Steinmetz [11] have shown that "CM" can be replaced by "IM" in Theorem A (another proof of this result for nonzero shared values is in [2]).…”

Meromorphic function sharing a small function with a linear differential polynomial

“…Rubel-Yang [10], Mues-Steinmetz [9], Gundersen [5], Yang [12] and others considered the uniqueness problem of entire functions when their first and kth derivatives share two values CM or IM.…”

Some results on entire functions that share one value with their difference operators

“…One of successful attempts in this direction was created by Rubel and Yang [19]. In 1977, they proved that: for a non-constant entire function f (z), if f (z) and f (z) share two distinct finite values a, b CM, then f (z) ≡ f (z).…”