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A note on entire functions sharing a finite set with their difference operators

A note on entire functions sharing a finite set with their difference operators

In this note, we will show that an entire function is equal to its difference operator if it has a growth property and shares a set, where the set consists of two entire functions of smaller orders. This result generalizes a result of Li (Comput. Methods Funct. Theory 12:307–328, 2012 …