Uniqueness problems on entire functions that share a small function with their difference operators

摘要

In this paper, we consider uniqueness problems on entire functions that share a small periodic entire function with their two difference operators and obtain some results. Our first theorem provides a difference analogue of a result of Li and Yang (J. Math. Anal. Appl. 253(1):50-57, 2001). MSC:30D35, 39B32.