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A note on entire functions sharing a finite set with their difference operators
2019
Advances in Difference Equations
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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 and partially answers Liu's (J. Math. Anal. Appl. 359:384-393, 2009) question. MSC: Primary 30D35; secondary 39A10; 39B32
doi:10.1186/s13662-019-1992-9
fatcat:rjt324tukrbarofb3twns6qqhi