On the Uniqueness Theory of Entire Functions and Their Difference Operators

On The Problem Of Entire Functions That Share a Small Function With Their Difference Operators

“…Lemma 2.4 [6] Let f (z) be a non-periodic entire function of finite order, and let a (z) ( ≡ 0) ∈ S (f ) be a periodic entire function with period c. If…”

The properties of meromorphic functions shared values with their difference operators

“…In recent years, with the difference analogue of the lemma on the logarithmic derivative, many researchers naturally considered the value distribution issues for meromorphic functions and its difference operators [5][6][7][8][9][10][11] and references therein. Then, some complex researchers [12][13][14][15][16] obtained difference analogue of the result of Theorem 1, and characterized the properties of f (z) from the perspective of shared values and proved the following results.…”

Uniqueness theorem on meromorphic functions and their difference operators

“…In 2015, Latreuch et al studied the case of entire function with its difference analogue of Theorem 2 and Theorem 3 and proved the following. For other related results, see Latreuch, El Farissi, Belaïdi [13], El Farissi, Latreuch, Asiri [7], El Farissi et al [8].…”